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)}472views9rank
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)}381views18rank
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).344views6rank
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).341views7rank1comments
Multiple ChoiceFind the domain and range of the following graph (write your answer using interval notation).3041views2comments
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.428views11rank2comments
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.379views3rank2comments
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)271views
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)287views
Textbook QuestionIn Exercises 1–30, find the domain of each function. f(x) = 1/(x+7) + 3/(x-9)365views
Textbook QuestionLet ƒ(x)=x^2+3 and g(x)=-2x+6. Find each of the following. See Example 1. (ƒ+g)(-5)316views
Textbook QuestionLet ƒ(x)=x^2+3 and g(x)=-2x+6. Find each of the following. See Example 1. (ƒ-g)(4)257views
Textbook QuestionLet ƒ(x)=x^2+3 and g(x)=-2x+6. Find each of the following. See Example 1. (ƒ/g)(5)254views
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-6255views
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+3292views
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+3255views
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/x257views
Textbook QuestionIn Exercises 1–30, find the domain of each function. f(x) = (2x+7)/(x^3 - 5x^2 - 4x+20)277views
Textbook QuestionIn Exercises 31–50, find f−g and determine the domain for each function. f(x) = 2x + 3, g(x) = x − 1300views
Textbook QuestionIn Exercises 31–50, find f/g and determine the domain for each function. f(x) = x -5, g(x) = 3x²319views
Textbook QuestionIn Exercises 31–50, find fg and determine the domain for each function. f(x) = x -5, g(x) = 3x²435views
Textbook QuestionIn Exercises 31–50, find fg and determine the domain for each function. f(x) = 3 − x², g(x) = x² + 2x − 17520views
Textbook QuestionIn Exercises 31–50, find f−g and determine the domain for each function. f(x) = 3 − x², g(x) = x² + 2x − 16283views
Textbook QuestionIn Exercises 31–50, find ƒ+g and determine the domain for each function. f(x) = 3 − x², g(x) = x² + 2x − 15281views
Textbook QuestionIn Exercises 31–50, find ƒ+g and determine the domain for each function. f(x) = √x, g(x) = x − 4301views
Textbook QuestionIn Exercises 31–50, find f/g and determine the domain for each function. f(x) = √x, g(x) = x − 4326views
Textbook QuestionIn Exercises 31–50, find ƒ-g and determine the domain for each function. f(x) = 2 + 1/x, g(x) = 1/x277views
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)429views
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)289views
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+2269views
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)342views
Textbook QuestionIn Exercises 31–50, find f−g and determine the domain for each function. f(x) = √(x +4), g(x) = √(x − 1)361views
Textbook QuestionIn Exercises 31–50, find ƒ+g and determine the domain for each function. f(x) = √(x +4), g(x) = √(x − 1)312views
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)340views
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)321views
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^2258views
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^2263views
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+1271views
Textbook QuestionIn Exercises 51–66, find a. (fog) (2) b. (go f) (2) f(x)=4x-3, g(x) = 5x² - 2261views
Textbook QuestionLet ƒ(x)=2x-3 and g(x)=-x+3. Find each function value. See Example 5. (ƒ∘g)(4)250views
Textbook QuestionIn Exercises 51–66, find a. (fog) (x) b. (go f) (x) f(x) = x²+2, g(x) = x² – 2254views
Textbook QuestionIn Exercises 51–66, find a. (fog) (x) b. (go f) (x) f(x) = 4-x, g(x) = 2x² +x+5359views
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)317views
Textbook QuestionIn Exercises 51–66, find a. (fog) (x) b. (go f) (x). f(x) = √x, g(x) = x − 1294views
Textbook QuestionLet ƒ(x)=2x-3 and g(x)=-x+3. Find each function value. See Example 5. (ƒ∘ƒ)(2)285views
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)])285views
Textbook QuestionIn Exercises 67-74, find a. (fog) (x) b. the domain of f o g. f(x) = 2/(x+3), g(x) = 1/x621views
Textbook QuestionIn Exercises 67-74, find a. (fog) (x) b. the domain of f o g. f(x) = x/(x+1), g(x) = 4/x543views
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+7806views
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-1349views
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+3320views
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)361views
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^2-4408views
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|347views
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+1442views
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+1985views
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)256views
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)^4798views
Textbook QuestionIn Exercises 91–94, use the graphs of f and g to evaluate each composite function. (fog) (-1)532views
Textbook QuestionLet ƒ(x) = 3x^2 - 4 and g(x) = x^2 - 3x -4. Find each of the following. (f+g)(2k)450views
Textbook QuestionLet ƒ(x) = √(x-2) and g(x) = x^2. Find each of the following, if possible. (ƒ ○ g)(x)284views
Textbook QuestionLet ƒ(x) = √(x-2) and g(x) = x^2. Find each of the following, if possible. (f ○ g)(-6)271views
Textbook QuestionThe graphs of two functions ƒ and g are shown in the figures. Find (g∘ƒ)(3).319views
Textbook QuestionFill in the blank to correctly complete each sentence. The point (-1, 3) lies in quadrant ________ in the rectangular coordinate system.86views
Textbook QuestionFill in the blank to correctly complete each sentence. The point (4,_____ ) lies on the graph of the equation y = 3x - 6.93views
Textbook QuestionFill in the blank to correctly complete each sentence. The y-intercept of the graph of y = -2x + 6 is ________.67views
Textbook QuestionDetermine whether each statement is true or false. If false, explain why. The graph of y = x^2 + 2 has no x-intercepts.75views
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 2.87views
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)74views
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)71views
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)26views
Textbook QuestionDetermine whether the three points are the vertices of a right triangle. See Example 3. (-2,-8),(0,-4),(-4,-7)87views
Textbook QuestionDetermine whether the three points are the vertices of a right triangle. See Example 3. (-4,1),(1,4),(-6,-1)81views
Textbook QuestionDetermine whether the three points are the vertices of a right triangle. See Example 3. (-2,-5),(1,7),(3,15)67views
Textbook QuestionDetermine whether the three points are collinear. See Example 4. (0,-7),(-3,5),(2,-15)105views
Textbook QuestionDetermine whether the three points are collinear. See Example 4. (0,9),(-3,-7),(2,-19)89views
Textbook QuestionDetermine whether the three points are collinear. See Example 4. (-7,4),(6,-2),(-1,1)83views
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)101views
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)70views
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)77views
Textbook QuestionFill in the blank(s) to correctly complete each sentence. The domain of the relation { (3,5), (4, 9), (10, 13) } is _____.76views
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 ________ .81views
Textbook QuestionFill in the blank(s) to correctly complete each sentence. For the function ƒ(x) = -4x + 2, ƒ(-2)= ______.86views
Textbook QuestionDetermine whether each relation defines a function. See Example 1. {(5,1),(3,2),(4,9),(7,8)}76views
Textbook QuestionDetermine whether each relation defines a function. See Example 1. {(8,0),(5,7),(9,3),(3,8)}62views
Textbook QuestionDetermine whether each relation defines a function. See Example 1. {(9,-2),(-3,5),(9,1)}59views
Textbook QuestionDetermine whether each relation defines a function. See Example 1. {(2,4),(0,2),(2,6)}52views
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)}84views
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)}111views
Textbook QuestionDetermine whether each relation defines a function, and give the domain and range. See Examples 1–4. 98views
Textbook QuestionDetermine whether each relation defines a function, and give the domain and range. See Examples 1–4. 72views
Textbook QuestionDetermine whether each relation defines a function, and give the domain and range. See Examples 1–4.92views
Textbook QuestionDetermine whether each relation defines a function, and give the domain and range. See Examples 1–4.44views
Textbook QuestionDetermine whether each relation defines a function, and give the domain and range. See Examples 1–4. 46views
Textbook QuestionDetermine whether each relation defines y as a function of x. Give the domain and range. See Example 5. y=-7/(x-5)167views
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)68views
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)71views
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)72views
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)71views
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)76views
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)85views
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)74views
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)76views
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)76views
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)66views
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)83views
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)72views
Textbook QuestionFor each function, find (a) ƒ(2) and (b) ƒ(-1).See Example 7. ƒ = {(2,5),(3,9),(-1,11),(5,3)}54views
Textbook QuestionFor each function, find (a) ƒ(2) and (b) ƒ(-1).See Example 7. ƒ = {(-1,3),(4,7),(0,6),(2,2)}43views
Textbook QuestionAn equation that defines y as a function of x is given. (b) Find ƒ(3). x-4y=870views
Textbook QuestionAn equation that defines y as a function of x is given. (b) Find ƒ(3). y+2x^2=3-x68views
Textbook QuestionFind the value of the function for the given value of x. See Example 3. ƒ(x)=[[0.5x]], for x=797views
Textbook QuestionFind the value of the function for the given value of x. See Example 3. ƒ(x)=-[[-x]], for x=2.579views
Textbook QuestionFind the value of the function for the given value of x. See Example 3. ƒ(x)=2-[[-x]], for x=3.777views
Textbook QuestionFind the value of the function for the given value of x. See Example 3. ƒ(x)=[[x/4]], for x=778views
Textbook QuestionFind the value of the function for the given value of x. See Example 3. ƒ(x)=[[3-(x/2)]], for x=176views
Textbook QuestionFind the value of the function for the given value of x. See Example 3. ƒ(x)=[[x]], for x=-√269views
Textbook QuestionDetermine whether each function is even, odd, or neither. See Example 5. ƒ(x)=-x^3+2x74views
Textbook QuestionDetermine whether each function is even, odd, or neither. See Example 5. ƒ(x)=x^5-2x^376views
Textbook QuestionDetermine whether each function is even, odd, or neither. See Example 5. ƒ(x)=0.5x^4-2x^2+675views
Textbook QuestionDetermine whether each function is even, odd, or neither. See Example 5. ƒ(x)=x^4-5x+873views
Textbook QuestionDetermine whether each function is even, odd, or neither. See Example 5. ƒ(x)=x+1/x^576views
Textbook QuestionDetermine whether each function is even, odd, or neither. See Example 5. ƒ(x)=x^4+4/x^276views
Textbook QuestionDetermine whether each equation defines y as a function of x. x = (1/3)(y^2)135views
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 =30150views
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.55views
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=558views
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^252views
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^238views
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|68views
Textbook QuestionFor each graph, determine whether y is a function of x. Give the domain and range of each relation.45views
Textbook QuestionDetermine whether each relation defines a function, and give the domain and range. See Examples 1–4. 33views
Textbook QuestionDetermine whether each relation defines a function, and give the domain and range. See Examples 1–4. 52views
Textbook QuestionDetermine whether each relation defines a function, and give the domain and range. See Examples 1–4. 59views
Textbook QuestionDetermine whether each relation defines y as a function of x. Give the domain and range. See Example 5. x=y^456views
Textbook QuestionDetermine whether each relation defines y as a function of x. Give the domain and range. See Example 5. y=-6x+453views
Textbook QuestionDetermine whether each relation defines y as a function of x. Give the domain and range. See Example 5. x-y<457views
Textbook QuestionDetermine whether each relation defines y as a function of x. Give the domain and range. See Example 5. y=-√x51views
Textbook QuestionDetermine whether each relation defines y as a function of x. Give the domain and range. See Example 5. y=√(7-2x)52views
Textbook QuestionDetermine whether each relation defines y as a function of x. Give the domain and range. See Example 5. y=2/(x-3)66views
Textbook QuestionDetermine the largest open intervals of the domain over which each function is (a) increasing. See Example 9. 70views
Textbook QuestionDetermine the largest open intervals of the domain over which each function is (c) constant. See Example 9. 58views
Textbook QuestionFor each function graphed, give the minimum and maximum values of ƒ(x) and the x-values at which they occur. 58views
Textbook QuestionFor each function graphed, give the minimum and maximum values of ƒ(x) and the x-values at which they occur. 60views
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?71views
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?54views
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?53views
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?54views
Textbook QuestionTo answer each question, refer to the following basic graphs. Which one is the graph of ƒ(x)=√x? What is its domain?56views
Textbook QuestionDetermine the intervals of the domain over which each function is continuous. See Example 1. 70views
Textbook QuestionDetermine the intervals of the domain over which each function is continuous. See Example 1. 80views
Textbook QuestionDetermine the intervals of the domain over which each function is continuous. See Example 1. 72views
Textbook QuestionDetermine the intervals of the domain over which each function is continuous. See Example 1.53views
Textbook QuestionDetermine the intervals of the domain over which each function is continuous. See Example 1. 38views
Textbook QuestionGraph each piecewise-defined function. See Example 2. ƒ(x)={x-1 if x≤3, 2 if x>354views
Textbook QuestionGraph each piecewise-defined function. See Example 2. ƒ(x)={4-x if x<2, 1+2x if x≥261views
Textbook QuestionGraph each piecewise-defined function. See Example 2. ƒ(x)={2x+1 if x≥0, x if x<067views
Textbook QuestionGraph each piecewise-defined function. See Example 2. ƒ(x)={-3 if x≤1, -1 if x>169views
Textbook QuestionGraph each piecewise-defined function. See Example 2. ƒ(x)={-2x if x<-3, 3x-1 if -3≤x≤2, -4x if x>258views
Textbook QuestionGraph each piecewise-defined function. See Example 2. ƒ(x)={x^3+5 if x≤0, -x^2 if x<047views
Textbook QuestionGraph each piecewise-defined function. See Example 2. ƒ(x)={-(1/2)x^2+2 if x≤2, (1/2)x if x>225views
Textbook QuestionGive a rule for each piecewise-defined function. Also give the domain and range.52views
Textbook QuestionGive a rule for each piecewise-defined function. Also give the domain and range. 99views
Textbook QuestionGive a rule for each piecewise-defined function. Also give the domain and range. 60views
Textbook QuestionFind the value of the function for the given value of x. See Example 3. ƒ(x)={5 if 02, for x=5.656views
Textbook QuestionFind the value of the function for the given value of x. See Example 3. ƒ(x)={3 if 04, for x=6.255views
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?47views
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?26views
Textbook QuestionFor each graph, determine whether y is a function of x. Give the domain and range of each relation. 57views
Textbook QuestionFor each graph, determine whether y is a function of x. Give the domain and range of each relation. 66views
Textbook QuestionFor each graph, determine whether y is a function of x. Give the domain and range of each relation. 52views
Textbook QuestionFor each graph, determine whether y is a function of x. Give the domain and range of each relation. 85views
Textbook QuestionUse a graphing calculator to graph each equation in the standard viewing window. 3x + 4y = 642views
Textbook QuestionUse a graphing calculator to graph each equation in the standard viewing window. -2x + 5y = 1046views
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 + 450views
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|60views
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 + 378views
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-151views
Textbook QuestionIn Exercises 65–70, use the graph of f to find each indicated function value. f(-3)142views
Textbook QuestionIn Exercises 65–70, use the graph of f to find each indicated function value. f(4)71views
Textbook QuestionIn Exercises 65–70, use the graph of f to find each indicated function value. f(-2)83views
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. 53views
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. 63views
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. 57views
Textbook QuestionIn Exercises 49–56, identify each equation without completing the square. 4x^2 + 4y^2 + 12x + 4y + 1 = 066views
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=067views
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 = 069views
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=067views
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 = 067views
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=077views
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 = 083views
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 = 070views
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 = 2577views
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 = 184views
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 = 473views
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 = 471views
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 = 3678views
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 = 1691views
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 = 1078views
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 = √376views
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 = 283views
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 = 594views
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 = 779views
Textbook QuestionIn Exercises 19–30, find the midpoint of each line segment with the given endpoints. (√50, −6) and (√2, 6)105views
Textbook QuestionIn Exercises 19–30, find the midpoint of each line segment with the given endpoints. (7√3, −6) and (3√3, −2)73views
Textbook QuestionIn Exercises 19–30, find the midpoint of each line segment with the given endpoints. (8, 3√5) and (−6, 7√5)70views
Textbook QuestionIn Exercises 19–30, find the midpoint of each line segment with the given endpoints. (-3, -4) and (6, −8)80views
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. 82views
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)79views
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)73views
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)80views
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)75views
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)72views
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)78views
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)91views
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)75views
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)68views
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)70views
Textbook QuestionIn Exercises 19–30, find the midpoint of each line segment with the given endpoints. (-2, -8) and (−6, −2)67views
Textbook QuestionIn Exercises 19–30, find the midpoint of each line segment with the given endpoints. (6, 8) and (2, 4)77views
Textbook QuestionExercises 103–105 will help you prepare for the material covered in the next section. Solve by completing the square: y² – 6y — 4 = 0.77views
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 1.79views
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.72views
Textbook QuestionFill in the blank(s) to correctly complete each sentence. The circle with center (3, 6) and radius 4 has equation _________.46views
Textbook QuestionIn Exercises 109–111, give the center and radius of each circle. x^2 + y^2 - 4x + 2y - 4 = 070views
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 = 6129views
Textbook QuestionIn Exercises 105–106, find the midpoint of each line segment with the given endpoints. (2, 6) and (-12, 4)117views
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)62views
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)51views
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__________ .57views
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 662views
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 654views
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 467views
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 753views
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 427views
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 √252views
Textbook QuestionUse each graph to determine an equation of the circle in (a) center-radius form and (b) general form.44views
Textbook QuestionUse each graph to determine an equation of the circle in (a) center-radius form and (b) general form. 25views
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=057views
Textbook QuestionGive the center and radius of the circle represented by each equation. See Examples 3 and 4. x^2+y^2-4x+12y=-459views
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=046views
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=-5424views
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=026views
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=054views
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=063views
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.68views
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)67views
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)13views
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)23views
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 = 495views
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 - 375views
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)75views