Multiple ChoiceState the inputs and outputs of the following relation. Is it a function? {(−3,5),(0,2),(3,5)\left(-3,5\right),\left(0,2\right),\left(3,5\right)(−3,5),(0,2),(3,5)}580views17rank
Multiple ChoiceState the inputs and outputs of the following relation. Is it a function? {(2,5),(0,2),(2,9)\left(2,5\right),\left(0,2\right),\left(2,9\right)(2,5),(0,2),(2,9)}462views20rank
Multiple ChoiceIs the equation y=−2x+10y=-2x+10y=−2x+10 a function? If so, rewrite it in function notation and evaluate at f(3)f\left(3\right)f(3).425views8rank
Multiple ChoiceIs the equation y2+2x=10y^2+2x=10y2+2x=10 a function? If so, rewrite it in function notation and evaluate at f(−1)f\left(-1\right)f(−1).419views10rank1comments
Multiple ChoiceFind the domain and range of the following graph (write your answer using interval notation).3502views4rank2comments
Multiple ChoiceFind the domain of f(x)=x+4f\left(x\right)=\sqrt{x+4}f(x)=x+4 . Express your answer using interval notation.524views11rank2comments
Multiple ChoiceFind the domain of f(x)=1x2−5x+6f\left(x\right)=\frac{1}{x^2-5x+6}f(x)=x2−5x+61 . Express your answer using interval notation.448views7rank2comments
Textbook QuestionWithout using paper and pencil, evaluate each expression given the following functions. ƒ(x)=x+1 and g(x)=x^2 (ƒ-g)(2)324views
Textbook QuestionWithout using paper and pencil, evaluate each expression given the following functions. ƒ(x)=x+1 and g(x)=x^2 (ƒ∘g)(2)331views
Textbook QuestionIn Exercises 1–30, find the domain of each function. f(x) = 1/(x+7) + 3/(x-9)422views
Textbook QuestionLet ƒ(x)=x^2+3 and g(x)=-2x+6. Find each of the following. See Example 1. (ƒ+g)(-5)379views
Textbook QuestionLet ƒ(x)=x^2+3 and g(x)=-2x+6. Find each of the following. See Example 1. (ƒ-g)(4)306views
Textbook QuestionLet ƒ(x)=x^2+3 and g(x)=-2x+6. Find each of the following. See Example 1. (ƒ/g)(5)310views
Textbook QuestionFor the pair of functions defined, find (ƒ-g)(x).Give the domain of each. See Example 2. ƒ(x)=3x+4, g(x)=2x-6306views
Textbook QuestionFor the pair of functions defined, find (ƒ+g)(x).Give the domain of each. See Example 2. ƒ(x)=2x^2-3x, g(x)=x^2-x+3356views
Textbook QuestionFor the pair of functions defined, find (ƒg)(x). Give the domain of each. See Example 2. ƒ(x)=2x^2-3x, g(x)=x^2-x+3305views
Textbook QuestionFor the pair of functions defined, find (ƒ-g)(x).Give the domain of each. See Example 2. ƒ(x)=√(4x-1), g(x)=1/x306views
Textbook QuestionIn Exercises 1–30, find the domain of each function. f(x) = (2x+7)/(x^3 - 5x^2 - 4x+20)340views
Textbook QuestionIn Exercises 31–50, find f−g and determine the domain for each function. f(x) = 2x + 3, g(x) = x − 1340views
Textbook QuestionIn Exercises 31–50, find f/g and determine the domain for each function. f(x) = x -5, g(x) = 3x²367views
Textbook QuestionIn Exercises 31–50, find fg and determine the domain for each function. f(x) = x -5, g(x) = 3x²495views
Textbook QuestionIn Exercises 31–50, find fg and determine the domain for each function. f(x) = 3 − x², g(x) = x² + 2x − 17594views
Textbook QuestionIn Exercises 31–50, find f−g and determine the domain for each function. f(x) = 3 − x², g(x) = x² + 2x − 16340views
Textbook QuestionIn Exercises 31–50, find ƒ+g and determine the domain for each function. f(x) = 3 − x², g(x) = x² + 2x − 15334views
Textbook QuestionIn Exercises 31–50, find ƒ+g and determine the domain for each function. f(x) = √x, g(x) = x − 4351views
Textbook QuestionIn Exercises 31–50, find f/g and determine the domain for each function. f(x) = √x, g(x) = x − 4377views
Textbook QuestionIn Exercises 31–50, find ƒ-g and determine the domain for each function. f(x) = 2 + 1/x, g(x) = 1/x332views
Textbook QuestionIn Exercises 31–50, find fg and determine the domain for each function. f(x)= = (5x+1)/(x² - 9), g(x) = (4x -2)/(x² - 9)484views
Textbook QuestionIn Exercises 31–50, find f−g and determine the domain for each function. f(x)= = (5x+1)/(x² - 9), g(x) = (4x -2)/(x² - 9)340views
Textbook QuestionFor each function, find (a)ƒ(x+h), (b)ƒ(x+h)-ƒ(x), and (c)[ƒ(x+h)-ƒ(x)]/h.See Example 4. ƒ(x)=6x+2330views
Textbook QuestionIn Exercises 31–50, find f/g and determine the domain for each function. f(x)= = 8x/(x - 2), g(x) = 6/(x+3)395views
Textbook QuestionIn Exercises 31–50, find f−g and determine the domain for each function. f(x) = √(x +4), g(x) = √(x − 1)410views
Textbook QuestionIn Exercises 31–50, find ƒ+g and determine the domain for each function. f(x) = √(x +4), g(x) = √(x − 1)364views
Textbook QuestionIn Exercises 31–50, find ƒ+g, f−g, fg, and f/g. Determine the domain for each function. f(x) = √(x -2), g(x) = √(2-x)391views
Textbook QuestionIn Exercises 31–50, find ƒ+g, f−g, fg, and f/g. Determine the domain for each function. f(x) = √(x -2), g(x) = √(2-x)372views
Textbook QuestionFor each function, find (a)ƒ(x+h), (b)ƒ(x+h)-ƒ(x), and (c)[ƒ(x+h)-ƒ(x)]/h.See Example 4. ƒ(x)=1/x^2315views
Textbook QuestionFor each function, find (a)ƒ(x+h), (b)ƒ(x+h)-ƒ(x), and (c)[ƒ(x+h)-ƒ(x)]/h.See Example 4. ƒ(x)=-x^2343views
Textbook QuestionFor each function, find (a)ƒ(x+h), (b)ƒ(x+h)-ƒ(x), and (c)[ƒ(x+h)-ƒ(x)]/h.See Example 4. ƒ(x)=x^2+3x+1349views
Textbook QuestionIn Exercises 51–66, find a. (fog) (2) b. (go f) (2) f(x)=4x-3, g(x) = 5x² - 2309views
Textbook QuestionLet ƒ(x)=2x-3 and g(x)=-x+3. Find each function value. See Example 5. (ƒ∘g)(4)298views
Textbook QuestionIn Exercises 51–66, find a. (fog) (x) b. (go f) (x) f(x) = x²+2, g(x) = x² – 2297views
Textbook QuestionIn Exercises 51–66, find a. (fog) (x) b. (go f) (x) f(x) = 4-x, g(x) = 2x² +x+5415views
Textbook QuestionIn Exercises 59-64, let f(x) = 2x - 5 g(x) = 4x - 1 h(x) = x² + x + 2. Evaluate the indicated function without finding an equation for the function. (fog) (0)391views
Textbook QuestionIn Exercises 51–66, find a. (fog) (x) b. (go f) (x). f(x) = √x, g(x) = x − 1352views
Textbook QuestionLet ƒ(x)=2x-3 and g(x)=-x+3. Find each function value. See Example 5. (ƒ∘ƒ)(2)335views
Textbook QuestionIn Exercises 59-64, let f(x) = 2x - 5 g(x) = 4x - 1 h(x) = x² + x + 2. Evaluate the indicated function without finding an equation for the function. g (f[h (1)])330views
Textbook QuestionIn Exercises 67-74, find a. (fog) (x) b. the domain of f o g. f(x) = 2/(x+3), g(x) = 1/x710views
Textbook QuestionIn Exercises 67-74, find a. (fog) (x) b. the domain of f o g. f(x) = x/(x+1), g(x) = 4/x609views
Textbook QuestionGiven functions f and g, find (a)(ƒ∘g)(x) and its domain. See Examples 6 and 7. ƒ(x)=-6x+9, g(x)=5x+7914views
Textbook QuestionGiven functions f and g, find (b)(g∘ƒ)(x) and its domain. See Examples 6 and 7. ƒ(x)=8x+12, g(x)=3x-1405views
Textbook QuestionGiven functions f and g, find (b)(g∘ƒ)(x) and its domain. See Examples 6 and 7. ƒ(x)=√x, g(x)=x+3378views
Textbook QuestionIn Exercises 75-82, express the given function h as a composition of two functions ƒ and g so that h(x) = (fog) (x). h(x) = ∛(x² – 9)407views
Textbook QuestionGiven functions f and g, find (a)(ƒ∘g)(x) and its domain. See Examples 6 and 7. ƒ(x)=x+2, g(x)=x^4+x^2-4478views
Textbook QuestionIn Exercises 75-82, express the given function h as a composition of two functions ƒ and g so that h(x) = (fog) (x). h(x) = |2x-5|384views
Textbook QuestionGiven functions f and g, find (b)(g∘ƒ)(x) and its domain. See Examples 6 and 7. ƒ(x)=2/x, g(x)=x+1501views
Textbook QuestionGiven functions f and g, find (a)(ƒ∘g)(x) and its domain. See Examples 6 and 7. ƒ(x)=2/x, g(x)=x+11082views
Textbook QuestionGiven functions f and g, find (b)(g∘ƒ)(x) and its domain. See Examples 6 and 7. ƒ(x)=√x, g(x)=1/(x+5)307views
Textbook QuestionIn Exercises 89–90, express the given function h as a composition of two functions f and g so that h(x) = (f ○ g)(x). h(x) = (x^2 + 2x - 1)^4865views
Textbook QuestionIn Exercises 91–94, use the graphs of f and g to evaluate each composite function. (fog) (-1)628views
Textbook QuestionLet ƒ(x) = 3x^2 - 4 and g(x) = x^2 - 3x -4. Find each of the following. (f+g)(2k)525views
Textbook QuestionLet ƒ(x) = √(x-2) and g(x) = x^2. Find each of the following, if possible. (ƒ ○ g)(x)332views
Textbook QuestionLet ƒ(x) = √(x-2) and g(x) = x^2. Find each of the following, if possible. (f ○ g)(-6)318views
Textbook QuestionThe graphs of two functions ƒ and g are shown in the figures. Find (g∘ƒ)(3).376views
Textbook QuestionFill in the blank to correctly complete each sentence. The point (-1, 3) lies in quadrant ________ in the rectangular coordinate system.140views
Textbook QuestionFill in the blank to correctly complete each sentence. The point (4,_____ ) lies on the graph of the equation y = 3x - 6.138views
Textbook QuestionFill in the blank to correctly complete each sentence. The y-intercept of the graph of y = -2x + 6 is ________.112views
Textbook QuestionDetermine whether each statement is true or false. If false, explain why. The graph of y = x^2 + 2 has no x-intercepts.123views
Textbook QuestionDetermine whether each statement is true or false. If false, explain why. The midpoint of the segment joining (0, 0) and (4, 4) is 2.140views
Textbook QuestionFor the points P and Q, find (a) the distance d(P, Q) and (b) the coordinates of the mid-point M of line segment PQ. See Examples 2 and 5(a). P(-5,-6), Q(7,-1)123views
Textbook QuestionFor the points P and Q, find (a) the distance d(P, Q) and (b) the coordinates of the mid-point M of line segment PQ. See Examples 2 and 5(a). P(8,2), Q(3,5)123views
Textbook QuestionFor the points P and Q, find (a) the distance d(P, Q) and (b) the coordinates of the mid-point M of line segment PQ. See Examples 2 and 5(a). P(6,-2), Q(4,6)86views
Textbook QuestionDetermine whether the three points are the vertices of a right triangle. See Example 3. (-2,-8),(0,-4),(-4,-7)144views
Textbook QuestionDetermine whether the three points are the vertices of a right triangle. See Example 3. (-4,1),(1,4),(-6,-1)136views
Textbook QuestionDetermine whether the three points are the vertices of a right triangle. See Example 3. (-2,-5),(1,7),(3,15)114views
Textbook QuestionDetermine whether the three points are collinear. See Example 4. (0,-7),(-3,5),(2,-15)163views
Textbook QuestionDetermine whether the three points are collinear. See Example 4. (0,9),(-3,-7),(2,-19)140views
Textbook QuestionDetermine whether the three points are collinear. See Example 4. (-7,4),(6,-2),(-1,1)123views
Textbook QuestionFind the coordinates of the other endpoint of each line segment, given its midpoint and one endpoint. See Example 5(b). midpoint (5, 8), endpoint (13, 10)160views
Textbook QuestionFind the coordinates of the other endpoint of each line segment, given its midpoint and one endpoint. See Example 5(b). midpoint (12, 6), endpoint (19, 16)123views
Textbook QuestionFind the coordinates of the other endpoint of each line segment, given its midpoint and one endpoint. See Example 5(b). midpoint (6a, 6b), endpoint (3a, 5b)144views
Textbook QuestionFill in the blank(s) to correctly complete each sentence. The domain of the relation { (3,5), (4, 9), (10, 13) } is _____.112views
Textbook QuestionFill in the blank(s) to correctly complete each sentence. The equation y = 4x - 6 defines a function with independent variable______ and dependent variable ________ .126views
Textbook QuestionFill in the blank(s) to correctly complete each sentence. For the function ƒ(x) = -4x + 2, ƒ(-2)= ______.132views
Textbook QuestionDetermine whether each relation defines a function. See Example 1. {(5,1),(3,2),(4,9),(7,8)}115views
Textbook QuestionDetermine whether each relation defines a function. See Example 1. {(8,0),(5,7),(9,3),(3,8)}108views
Textbook QuestionDetermine whether each relation defines a function. See Example 1. {(9,-2),(-3,5),(9,1)}110views
Textbook QuestionDetermine whether each relation defines a function. See Example 1. {(2,4),(0,2),(2,6)}81views
Textbook QuestionDetermine whether each relation defines a function, and give the domain and range. See Examples 1–4. {(1,1),(1,-1),(0,0),(2,4),(2,-4)}122views
Textbook QuestionDetermine whether each relation defines a function, and give the domain and range. See Examples 1–4. {(2,5),(3,7),(3,9),(5,11)}159views
Textbook QuestionDetermine whether each relation defines a function, and give the domain and range. See Examples 1–4. 152views
Textbook QuestionDetermine whether each relation defines a function, and give the domain and range. See Examples 1–4. 109views
Textbook QuestionDetermine whether each relation defines a function, and give the domain and range. See Examples 1–4.139views
Textbook QuestionDetermine whether each relation defines a function, and give the domain and range. See Examples 1–4.99views
Textbook QuestionDetermine whether each relation defines a function, and give the domain and range. See Examples 1–4. 67views
Textbook QuestionDetermine whether each relation defines y as a function of x. Give the domain and range. See Example 5. y=-7/(x-5)227views
Textbook QuestionLet ƒ(x)=-3x+4 and g(x)=-x^2+4x+1. Find each of the following. Simplify if necessary. See Example 6. ƒ(-3)115views
Textbook QuestionLet ƒ(x)=-3x+4 and g(x)=-x^2+4x+1. Find each of the following. Simplify if necessary. See Example 6. g(-2)120views
Textbook QuestionLet ƒ(x)=-3x+4 and g(x)=-x^2+4x+1. Find each of the following. Simplify if necessary. See Example 6. g(10)109views
Textbook QuestionLet ƒ(x)=-3x+4 and g(x)=-x^2+4x+1. Find each of the following. Simplify if necessary. See Example 6. ƒ(-7/3)122views
Textbook QuestionLet ƒ(x)=-3x+4 and g(x)=-x^2+4x+1. Find each of the following. Simplify if necessary. See Example 6. g(1/2)128views
Textbook QuestionLet ƒ(x)=-3x+4 and g(x)=-x^2+4x+1. Find each of the following. Simplify if necessary. See Example 6. g(-1/4)136views
Textbook QuestionLet ƒ(x)=-3x+4 and g(x)=-x^2+4x+1. Find each of the following. Simplify if necessary. See Example 6. ƒ(p)123views
Textbook QuestionLet ƒ(x)=-3x+4 and g(x)=-x^2+4x+1. Find each of the following. Simplify if necessary. See Example 6. g(k)128views
Textbook QuestionLet ƒ(x)=-3x+4 and g(x)=-x^2+4x+1. Find each of the following. Simplify if necessary. See Example 6. g(-x)126views
Textbook QuestionLet ƒ(x)=-3x+4 and g(x)=-x^2+4x+1. Find each of the following. Simplify if necessary. See Example 6. ƒ(x+2)122views
Textbook QuestionLet ƒ(x)=-3x+4 and g(x)=-x^2+4x+1. Find each of the following. Simplify if necessary. See Example 6. ƒ(a+4)135views
Textbook QuestionLet ƒ(x)=-3x+4 and g(x)=-x^2+4x+1. Find each of the following. Simplify if necessary. See Example 6. ƒ(2m-3)123views
Textbook QuestionFor each function, find (a) ƒ(2) and (b) ƒ(-1).See Example 7. ƒ = {(2,5),(3,9),(-1,11),(5,3)}118views
Textbook QuestionFor each function, find (a) ƒ(2) and (b) ƒ(-1).See Example 7. ƒ = {(-1,3),(4,7),(0,6),(2,2)}66views
Textbook QuestionAn equation that defines y as a function of x is given. (b) Find ƒ(3). x-4y=8125views
Textbook QuestionAn equation that defines y as a function of x is given. (b) Find ƒ(3). y+2x^2=3-x120views
Textbook QuestionFind the value of the function for the given value of x. See Example 3. ƒ(x)=[[0.5x]], for x=7172views
Textbook QuestionFind the value of the function for the given value of x. See Example 3. ƒ(x)=-[[-x]], for x=2.5134views
Textbook QuestionFind the value of the function for the given value of x. See Example 3. ƒ(x)=2-[[-x]], for x=3.7118views
Textbook QuestionFind the value of the function for the given value of x. See Example 3. ƒ(x)=[[x/4]], for x=7122views
Textbook QuestionFind the value of the function for the given value of x. See Example 3. ƒ(x)=[[3-(x/2)]], for x=1130views
Textbook QuestionFind the value of the function for the given value of x. See Example 3. ƒ(x)=[[x]], for x=-√2119views
Textbook QuestionDetermine whether each function is even, odd, or neither. See Example 5. ƒ(x)=-x^3+2x129views
Textbook QuestionDetermine whether each function is even, odd, or neither. See Example 5. ƒ(x)=x^5-2x^3125views
Textbook QuestionDetermine whether each function is even, odd, or neither. See Example 5. ƒ(x)=0.5x^4-2x^2+6136views
Textbook QuestionDetermine whether each function is even, odd, or neither. See Example 5. ƒ(x)=x^4-5x+8124views
Textbook QuestionDetermine whether each function is even, odd, or neither. See Example 5. ƒ(x)=x+1/x^5123views
Textbook QuestionDetermine whether each function is even, odd, or neither. See Example 5. ƒ(x)=x^4+4/x^2124views
Textbook QuestionDetermine whether each equation defines y as a function of x. x = (1/3)(y^2)194views
Textbook QuestionDetermine whether each equation has a graph that is symmetric with respect to the x-axis, the y-axis, the origin, or none of these. 5y^2 + 5x^2 =30194views
Textbook QuestionConsider the following nonlinear system. Work Exercises 75 –80 in order. y = | x - 1 | y = x^2 - 4 Use the definition of absolute value to write y = | x - 1 | as a piecewise-defined function.105views
Textbook QuestionFor each equation, (a) give a table with at least three ordered pairs that are solutions, and (b) graph the equation. See Examples 7 and 8. 2x+3y=5110views
Textbook QuestionFor each equation, (a) give a table with at least three ordered pairs that are solutions, and (b) graph the equation. See Examples 7 and 8. y=-x^299views
Textbook QuestionFor each equation, (a) give a table with at least three ordered pairs that are solutions, and (b) graph the equation. See Examples 7 and 8. y=x^264views
Textbook QuestionFor each equation, (a) give a table with at least three ordered pairs that are solutions, and (b) graph the equation. See Examples 7 and 8. y=|x+4|127views
Textbook QuestionFor each graph, determine whether y is a function of x. Give the domain and range of each relation.89views
Textbook QuestionDetermine whether each relation defines a function, and give the domain and range. See Examples 1–4. 62views
Textbook QuestionDetermine whether each relation defines a function, and give the domain and range. See Examples 1–4. 100views
Textbook QuestionDetermine whether each relation defines a function, and give the domain and range. See Examples 1–4. 114views
Textbook QuestionDetermine whether each relation defines y as a function of x. Give the domain and range. See Example 5. x=y^4110views
Textbook QuestionDetermine whether each relation defines y as a function of x. Give the domain and range. See Example 5. y=-6x+499views
Textbook QuestionDetermine whether each relation defines y as a function of x. Give the domain and range. See Example 5. x-y<497views
Textbook QuestionDetermine whether each relation defines y as a function of x. Give the domain and range. See Example 5. y=-√x101views
Textbook QuestionDetermine whether each relation defines y as a function of x. Give the domain and range. See Example 5. y=√(7-2x)105views
Textbook QuestionDetermine whether each relation defines y as a function of x. Give the domain and range. See Example 5. y=2/(x-3)120views
Textbook QuestionDetermine the largest open intervals of the domain over which each function is (a) increasing. See Example 9. 124views
Textbook QuestionDetermine the largest open intervals of the domain over which each function is (c) constant. See Example 9. 108views
Textbook QuestionFor each function graphed, give the minimum and maximum values of ƒ(x) and the x-values at which they occur. 105views
Textbook QuestionFor each function graphed, give the minimum and maximum values of ƒ(x) and the x-values at which they occur. 122views
Textbook QuestionTo answer each question, refer to the following basic graphs. Which one is the graph of ƒ(x)=x^2? What is its domain?117views
Textbook QuestionTo answer each question, refer to the following basic graphs. Which one is the graph of ƒ(x)=x^3? What is its range?103views
Textbook QuestionTo answer each question, refer to the following basic graphs. Which one is the graph of ƒ(x)=|x|? What is the function value when x=1.5?98views
Textbook QuestionTo answer each question, refer to the following basic graphs. Which one is the graph of ƒ(x)=∛x? Is there any open interval over which the function is decreasing?95views
Textbook QuestionTo answer each question, refer to the following basic graphs. Which one is the graph of ƒ(x)=√x? What is its domain?93views
Textbook QuestionDetermine the intervals of the domain over which each function is continuous. See Example 1. 128views
Textbook QuestionDetermine the intervals of the domain over which each function is continuous. See Example 1. 130views
Textbook QuestionDetermine the intervals of the domain over which each function is continuous. See Example 1. 118views
Textbook QuestionDetermine the intervals of the domain over which each function is continuous. See Example 1.103views
Textbook QuestionDetermine the intervals of the domain over which each function is continuous. See Example 1. 58views
Textbook QuestionGraph each piecewise-defined function. See Example 2. ƒ(x)={x-1 if x≤3, 2 if x>3100views
Textbook QuestionGraph each piecewise-defined function. See Example 2. ƒ(x)={4-x if x<2, 1+2x if x≥2103views
Textbook QuestionGraph each piecewise-defined function. See Example 2. ƒ(x)={2x+1 if x≥0, x if x<0108views
Textbook QuestionGraph each piecewise-defined function. See Example 2. ƒ(x)={-3 if x≤1, -1 if x>1128views
Textbook QuestionGraph each piecewise-defined function. See Example 2. ƒ(x)={-2x if x<-3, 3x-1 if -3≤x≤2, -4x if x>2109views
Textbook QuestionGraph each piecewise-defined function. See Example 2. ƒ(x)={x^3+5 if x≤0, -x^2 if x<098views
Textbook QuestionGraph each piecewise-defined function. See Example 2. ƒ(x)={-(1/2)x^2+2 if x≤2, (1/2)x if x>257views
Textbook QuestionGive a rule for each piecewise-defined function. Also give the domain and range.112views
Textbook QuestionGive a rule for each piecewise-defined function. Also give the domain and range. 161views
Textbook QuestionGive a rule for each piecewise-defined function. Also give the domain and range. 106views
Textbook QuestionFind the value of the function for the given value of x. See Example 3. ƒ(x)={5 if 02, for x=5.6100views
Textbook QuestionFind the value of the function for the given value of x. See Example 3. ƒ(x)={3 if 04, for x=6.299views
Textbook QuestionSolve each problem. See Example 4. Suppose that the cost of mailing a letter weighing x ounces, where x>0, is ƒ(x)=55-15[[1-x]]cents. What is the cost for the first ounce?88views
Textbook QuestionSolve each problem. See Example 4. Suppose that the cost of mailing a letter weighing x ounces, where x>0, is ƒ(x)=55-15[[1-x]]cents. What is the cost of mailing a 2.6-ounce letter?54views
Textbook QuestionFor each graph, determine whether y is a function of x. Give the domain and range of each relation. 115views
Textbook QuestionFor each graph, determine whether y is a function of x. Give the domain and range of each relation. 120views
Textbook QuestionFor each graph, determine whether y is a function of x. Give the domain and range of each relation. 91views
Textbook QuestionFor each graph, determine whether y is a function of x. Give the domain and range of each relation. 149views
Textbook QuestionUse a graphing calculator to graph each equation in the standard viewing window. 3x + 4y = 694views
Textbook QuestionUse a graphing calculator to graph each equation in the standard viewing window. -2x + 5y = 10104views
Textbook QuestionDetermine whether each equation has a graph that is symmetric with respect to the x-axis, the y-axis, the origin, or none of these. y^3 = x + 495views
Textbook QuestionDetermine whether each equation has a graph that is symmetric with respect to the x-axis, the y-axis, the origin, or none of these. |x| = |y|102views
Textbook QuestionIn Exercises 39–50, graph the given functions, f and g, in the same rectangular coordinate system. Select integers for x, starting with -2 and ending with 2. Once you have obtained your graphs, describe how the graph of g is related to the graph of f. f(x) = x, g(x) = x + 3126views
Textbook QuestionIn Exercises 39–50, graph the given functions, f and g, in the same rectangular coordinate system. Select integers for x, starting with -2 and ending with 2. Once you have obtained your graphs, describe how the graph of g is related to the graph of f. f(x) = -2x, g(x) = -2x-1104views
Textbook QuestionIn Exercises 65–70, use the graph of f to find each indicated function value. f(-3)195views
Textbook QuestionIn Exercises 65–70, use the graph of f to find each indicated function value. f(4)95views
Textbook QuestionIn Exercises 65–70, use the graph of f to find each indicated function value. f(-2)109views
Textbook QuestionIn Exercises 77–92, use the graph to determine a.the x-intercepts, if any; b. the y-intercept, if any; and e. the missing function values, indicated by question marks, below each graph. 100views
Textbook QuestionIn Exercises 77–92, use the graph to determine a.the x-intercepts, if any; b. the y-intercept, if any; and e. the missing function values, indicated by question marks, below each graph. 113views
Textbook QuestionIn Exercises 77–92, use the graph to determine a. the function's domain; b. the function's range; and e. the missing function values, indicated by question marks, below each graph. 112views
Textbook QuestionIn Exercises 49–56, identify each equation without completing the square. 4x^2 + 4y^2 + 12x + 4y + 1 = 0117views
Textbook QuestionIn Exercises 53–64, complete the square and write the equation in standard form. Then give the center and radius of each circle and graph the equation. x² + y²+3x+5y+9/4=0120views
Textbook QuestionIn Exercises 53–64, complete the square and write the equation in standard form. Then give the center and radius of each circle and graph the equation. x² + y² − x + 2y + 1 = 0121views
Textbook QuestionIn Exercises 53–64, complete the square and write the equation in standard form. Then give the center and radius of each circle and graph the equation. x² + y² - 6y -7=0113views
Textbook QuestionIn Exercises 53–64, complete the square and write the equation in standard form. Then give the center and radius of each circle and graph the equation. x² - 2x + y² – 15 = 0118views
Textbook QuestionIn Exercises 53–64, complete the square and write the equation in standard form. Then give the center and radius of each circle and graph the equation. x² + y²+8x-2y-8=0124views
Textbook QuestionIn Exercises 53–64, complete the square and write the equation in standard form. Then give the center and radius of each circle and graph the equation. x² + y² – 10x – 6y – 30 = 0135views
Textbook QuestionIn Exercises 53–64, complete the square and write the equation in standard form. Then give the center and radius of each circle and graph the equation. x² + y²+6x+2y+6 = 0122views
Textbook QuestionIn Exercises 41–52, give the center and radius of the circle described by the equation and graph each equation. Use the graph to identify the relation's domain and range. (x + 1)² + y² = 25122views
Textbook QuestionIn Exercises 41–52, give the center and radius of the circle described by the equation and graph each equation. Use the graph to identify the relation's domain and range. x² + (y − 1)² = 1130views
Textbook QuestionIn Exercises 41–52, give the center and radius of the circle described by the equation and graph each equation. Use the graph to identify the relation's domain and range. (x + 2)² + (y - 2)² = 4114views
Textbook QuestionIn Exercises 41–52, give the center and radius of the circle described by the equation and graph each equation. Use the graph to identify the relation's domain and range. (x+3)² + (y + 2)² = 4124views
Textbook QuestionIn Exercises 41–52, give the center and radius of the circle described by the equation and graph each equation. Use the graph to identify the relation's domain and range. (x − 3)² + (y + 1)² = 36129views
Textbook QuestionIn Exercises 41–52, give the center and radius of the circle described by the equation and graph each equation. Use the graph to identify the relation's domain and range. x² + y² = 16144views
Textbook QuestionIn Exercises 31–40, write the standard form of the equation of the circle with the given center and radius. Center (-4, 0), r = 10126views
Textbook QuestionIn Exercises 31–40, write the standard form of the equation of the circle with the given center and radius. Center (−3, −1), r = √3121views
Textbook QuestionIn Exercises 31–40, write the standard form of the equation of the circle with the given center and radius. Center (-1, 4), r = 2140views
Textbook QuestionIn Exercises 31–40, write the standard form of the equation of the circle with the given center and radius. Center (3, 2), r = 5145views
Textbook QuestionIn Exercises 31–40, write the standard form of the equation of the circle with the given center and radius. Center (0, 0), r = 7125views
Textbook QuestionIn Exercises 19–30, find the midpoint of each line segment with the given endpoints. (√50, −6) and (√2, 6)155views
Textbook QuestionIn Exercises 19–30, find the midpoint of each line segment with the given endpoints. (7√3, −6) and (3√3, −2)138views
Textbook QuestionIn Exercises 19–30, find the midpoint of each line segment with the given endpoints. (8, 3√5) and (−6, 7√5)118views
Textbook QuestionIn Exercises 19–30, find the midpoint of each line segment with the given endpoints. (-3, -4) and (6, −8)134views
Textbook QuestionIn Exercises 65-66, a line segment through the center of each circle intersects the circle at the points shown. a. Find the coordinates of the circle's center. b. Find the radius of the circle. c. Use your answers from parts (a) and (b) to write the standard form of the circle's equation. 138views
Textbook QuestionIn Exercises 1–18, find the distance between each pair of points. If necessary, express answers in simplified radical form and then round to two decimal places. (-1/4, -1/7) and (3/4, 6/7)120views
Textbook QuestionIn Exercises 1–18, find the distance between each pair of points. If necessary, express answers in simplified radical form and then round to two decimal places. (7/3, 1/5) and (1/3, 6/5)121views
Textbook QuestionIn Exercises 1–18, find the distance between each pair of points. If necessary, express answers in simplified radical form and then round to two decimal places. (3√3, √5) and (−√3, 4√5)128views
Textbook QuestionIn Exercises 1–18, find the distance between each pair of points. If necessary, express answers in simplified radical form and then round to two decimal places. (0, -√2) and (√7,0)117views
Textbook QuestionIn Exercises 1–18, find the distance between each pair of points. If necessary, express answers in simplified radical form and then round to two decimal places. (0, −√3) and (√5, 0)122views
Textbook QuestionIn Exercises 1–18, find the distance between each pair of points. If necessary, express answers in simplified radical form and then round to two decimal places. (3.5, 8.2) and (-0.5, 6.2)127views
Textbook QuestionIn Exercises 1–18, find the distance between each pair of points. If necessary, express answers in simplified radical form and then round to two decimal places. (-2, -6) and (3, −4)147views
Textbook QuestionIn Exercises 1–18, find the distance between each pair of points. If necessary, express answers in simplified radical form and then round to two decimal places. (0, 0) and (3,-4)117views
Textbook QuestionIn Exercises 1–18, find the distance between each pair of points. If necessary, express answers in simplified radical form and then round to two decimal places. (4, -1) and (-6, 3)113views
Textbook QuestionIn Exercises 1–18, find the distance between each pair of points. If necessary, express answers in simplified radical form and then round to two decimal places. (2, 3) and (14, 8)108views
Textbook QuestionIn Exercises 19–30, find the midpoint of each line segment with the given endpoints. (-2, -8) and (−6, −2)115views
Textbook QuestionIn Exercises 19–30, find the midpoint of each line segment with the given endpoints. (6, 8) and (2, 4)129views
Textbook QuestionExercises 103–105 will help you prepare for the material covered in the next section. Solve by completing the square: y² – 6y — 4 = 0.128views
Textbook QuestionExercises 103–105 will help you prepare for the material covered in the next section. Use a rectangular coordinate system to graph the circle with center (1, -1) and radius 1.131views
Textbook QuestionExercises 103–105 will help you prepare for the material covered in the next section. Let (x1, y₁) = (7, 2) and (x2, y2) = (1, −1). Find √[(x2 − x1)² + (y2 − y₁)²]. Express the - answer in simplified radical form.113views
Textbook QuestionFill in the blank(s) to correctly complete each sentence. The circle with center (3, 6) and radius 4 has equation _________.86views
Textbook QuestionIn Exercises 109–111, give the center and radius of each circle. x^2 + y^2 - 4x + 2y - 4 = 086views
Textbook QuestionIn Exercises 107–108, write the standard form of the equation of the circle with the given center and radius. Center (-2. 4), r = 6181views
Textbook QuestionIn Exercises 105–106, find the midpoint of each line segment with the given endpoints. (2, 6) and (-12, 4)163views
Textbook QuestionFind the given distances between points P, Q, R, and S on a number line, with coordi-nates -4, -1, 8, and 12, respectively. d(P, Q)106views
Textbook QuestionFind the given distances between points P, Q, R, and S on a number line, with coordi-nates -4, -1, 8, and 12, respectively. d(Q,R)103views
Textbook QuestionFill in the blank(s) to correctly complete each sentence. The circle with equation x^2+y^2=49 has center with coordinates________ and radius equal to__________ .106views
Textbook QuestionIn the following exercises, (a) find the center-radius form of the equation of each circle described, and (b) graph it. See Examples 1 and 2. center (0, 0), radius 6114views
Textbook QuestionIn the following exercises, (a) find the center-radius form of the equation of each circle described, and (b) graph it. See Examples 1 and 2. center (2, 0), radius 6104views
Textbook QuestionIn the following exercises, (a) find the center-radius form of the equation of each circle described, and (b) graph it. See Examples 1 and 2. center (0, 4), radius 4124views
Textbook QuestionIn the following exercises, (a) find the center-radius form of the equation of each circle described, and (b) graph it. See Examples 1 and 2. center (5, -4), radius 7106views
Textbook QuestionIn the following exercises, (a) find the center-radius form of the equation of each circle described, and (b) graph it. See Examples 1 and 2. center (-2, 5), radius 452views
Textbook QuestionIn the following exercises, (a) find the center-radius form of the equation of each circle described, and (b) graph it. See Examples 1 and 2. center (√2, √2), radius √2109views
Textbook QuestionUse each graph to determine an equation of the circle in (a) center-radius form and (b) general form.93views
Textbook QuestionUse each graph to determine an equation of the circle in (a) center-radius form and (b) general form. 51views
Textbook QuestionGive the center and radius of the circle represented by each equation. See Examples 3 and 4. x^2+y^2+6x+8y+9=0102views
Textbook QuestionGive the center and radius of the circle represented by each equation. See Examples 3 and 4. x^2+y^2-4x+12y=-4101views
Textbook QuestionDescribe the graph of each equation as a circle, a point, or nonexistent. If it is a circle, give the center and radius. If it is a point, give the coordinates. See Examples 3–5. x^2+y^2+4x-8y+32=098views
Textbook QuestionDescribe the graph of each equation as a circle, a point, or nonexistent. If it is a circle, give the center and radius. If it is a point, give the coordinates. See Examples 3–5. x^2+y^2+4x+14y=-5456views
Textbook QuestionDescribe the graph of each equation as a circle, a point, or nonexistent. If it is a circle, give the center and radius. If it is a point, give the coordinates. See Examples 3–5. x^2+y^2+2x-6y+14=053views
Textbook QuestionDescribe the graph of each equation as a circle, a point, or nonexistent. If it is a circle, give the center and radius. If it is a point, give the coordinates. See Examples 3–5. x^2+y^2+4x+4y+8=0108views
Textbook QuestionDescribe the graph of each equation as a circle, a point, or nonexistent. If it is a circle, give the center and radius. If it is a point, give the coordinates. See Examples 3–5. x^2+y^2-2x+12y-12=0106views
Textbook QuestionWork each of the following. Find the equation of a circle with center at (-4, 3), passing through the point (5, 8).Write it in center-radius form.114views
Textbook QuestionFind the distance between each pair of points, and give the coordinates of the midpoint of the line segment joining them. P(3, -1), Q(-4, 5)116views
Textbook QuestionFind the distance between each pair of points, and give the coordinates of the midpoint of the line segment joining them. M((-8, 2), N(3, -7)32views
Textbook QuestionFind the distance between each pair of points, and give the coordinates of the midpoint of the line segment joining them. A(-6, 3), B(-6,8)49views
Textbook QuestionIn Exercises 67–70, graph both equations in the same rectangular coordinate system and find all points of intersection. Then show that these ordered pairs satisfy the equations. x² + y² = 16, x-y = 4149views
Textbook QuestionIn Exercises 67–70, graph both equations in the same rectangular coordinate system and find all points of intersection. Then show that these ordered pairs satisfy the equations. (x − 2)²+(y+3)² = 4, y = x - 3126views
Textbook QuestionIn Exercises 19–30, find the midpoint of each line segment with the given endpoints. (-7/2, 3/2) and (-5/2, -11/2)117views