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)}393views9rank
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)}336views16rank
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).289views5rank
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).291views6rank1comments
Multiple ChoiceFind the domain and range of the following graph (write your answer using interval notation).2405views2comments
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.357views9rank2comments
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.318views2rank2comments
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)214views
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)238views
Textbook QuestionIn Exercises 1–30, find the domain of each function. f(x) = 1/(x+7) + 3/(x-9)295views
Textbook QuestionLet ƒ(x)=x^2+3 and g(x)=-2x+6. Find each of the following. See Example 1. (ƒ+g)(-5)269views
Textbook QuestionLet ƒ(x)=x^2+3 and g(x)=-2x+6. Find each of the following. See Example 1. (ƒ-g)(4)216views
Textbook QuestionLet ƒ(x)=x^2+3 and g(x)=-2x+6. Find each of the following. See Example 1. (ƒ/g)(5)209views
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-6214views
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+3247views
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+3207views
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/x217views
Textbook QuestionIn Exercises 1–30, find the domain of each function. f(x) = (2x+7)/(x^3 - 5x^2 - 4x+20)225views
Textbook QuestionIn Exercises 31–50, find f−g and determine the domain for each function. f(x) = 2x + 3, g(x) = x − 1247views
Textbook QuestionIn Exercises 31–50, find f/g and determine the domain for each function. f(x) = x -5, g(x) = 3x²270views
Textbook QuestionIn Exercises 31–50, find fg and determine the domain for each function. f(x) = x -5, g(x) = 3x²365views
Textbook QuestionIn Exercises 31–50, find fg and determine the domain for each function. f(x) = 3 − x², g(x) = x² + 2x − 17440views
Textbook QuestionIn Exercises 31–50, find f−g and determine the domain for each function. f(x) = 3 − x², g(x) = x² + 2x − 16231views
Textbook QuestionIn Exercises 31–50, find ƒ+g and determine the domain for each function. f(x) = 3 − x², g(x) = x² + 2x − 15230views
Textbook QuestionIn Exercises 31–50, find ƒ+g and determine the domain for each function. f(x) = √x, g(x) = x − 4249views
Textbook QuestionIn Exercises 31–50, find f/g and determine the domain for each function. f(x) = √x, g(x) = x − 4269views
Textbook QuestionIn Exercises 31–50, find ƒ-g and determine the domain for each function. f(x) = 2 + 1/x, g(x) = 1/x226views
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)347views
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)239views
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+2219views
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)286views
Textbook QuestionIn Exercises 31–50, find f−g and determine the domain for each function. f(x) = √(x +4), g(x) = √(x − 1)306views
Textbook QuestionIn Exercises 31–50, find ƒ+g and determine the domain for each function. f(x) = √(x +4), g(x) = √(x − 1)261views
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)292views
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)259views
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^2214views
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^2218views
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+1229views
Textbook QuestionIn Exercises 51–66, find a. (fog) (2) b. (go f) (2) f(x)=4x-3, g(x) = 5x² - 2213views
Textbook QuestionLet ƒ(x)=2x-3 and g(x)=-x+3. Find each function value. See Example 5. (ƒ∘g)(4)212views
Textbook QuestionIn Exercises 51–66, find a. (fog) (x) b. (go f) (x) f(x) = x²+2, g(x) = x² – 2208views
Textbook QuestionIn Exercises 51–66, find a. (fog) (x) b. (go f) (x) f(x) = 4-x, g(x) = 2x² +x+5291views
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)251views
Textbook QuestionIn Exercises 51–66, find a. (fog) (x) b. (go f) (x). f(x) = √x, g(x) = x − 1238views
Textbook QuestionLet ƒ(x)=2x-3 and g(x)=-x+3. Find each function value. See Example 5. (ƒ∘ƒ)(2)234views
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)])235views
Textbook QuestionIn Exercises 67-74, find a. (fog) (x) b. the domain of f o g. f(x) = 2/(x+3), g(x) = 1/x490views
Textbook QuestionIn Exercises 67-74, find a. (fog) (x) b. the domain of f o g. f(x) = x/(x+1), g(x) = 4/x464views
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+7663views
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-1291views
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+3266views
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)299views
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^2-4334views
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|280views
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+1378views
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+1847views
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)201views
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)^4698views
Textbook QuestionIn Exercises 91–94, use the graphs of f and g to evaluate each composite function. (fog) (-1)386views
Textbook QuestionLet ƒ(x) = 3x^2 - 4 and g(x) = x^2 - 3x -4. Find each of the following. (f+g)(2k)366views
Textbook QuestionLet ƒ(x) = √(x-2) and g(x) = x^2. Find each of the following, if possible. (ƒ ○ g)(x)239views
Textbook QuestionLet ƒ(x) = √(x-2) and g(x) = x^2. Find each of the following, if possible. (f ○ g)(-6)221views
Textbook QuestionThe graphs of two functions ƒ and g are shown in the figures. Find (g∘ƒ)(3).247views
Textbook QuestionFill in the blank to correctly complete each sentence. The point (-1, 3) lies in quadrant ________ in the rectangular coordinate system.42views
Textbook QuestionFill in the blank to correctly complete each sentence. The point (4,_____ ) lies on the graph of the equation y = 3x - 6.49views
Textbook QuestionFill in the blank to correctly complete each sentence. The y-intercept of the graph of y = -2x + 6 is ________.26views
Textbook QuestionDetermine whether each statement is true or false. If false, explain why. The graph of y = x^2 + 2 has no x-intercepts.33views
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 2.38views
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)32views
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)27views
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)6views
Textbook QuestionDetermine whether the three points are the vertices of a right triangle. See Example 3. (-2,-8),(0,-4),(-4,-7)41views
Textbook QuestionDetermine whether the three points are the vertices of a right triangle. See Example 3. (-4,1),(1,4),(-6,-1)29views
Textbook QuestionDetermine whether the three points are the vertices of a right triangle. See Example 3. (-2,-5),(1,7),(3,15)28views
Textbook QuestionDetermine whether the three points are collinear. See Example 4. (0,-7),(-3,5),(2,-15)63views
Textbook QuestionDetermine whether the three points are collinear. See Example 4. (0,9),(-3,-7),(2,-19)43views
Textbook QuestionDetermine whether the three points are collinear. See Example 4. (-7,4),(6,-2),(-1,1)40views
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)55views
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)30views
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)33views
Textbook QuestionFill in the blank(s) to correctly complete each sentence. The domain of the relation { (3,5), (4, 9), (10, 13) } is _____.35views
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 ________ .42views
Textbook QuestionFill in the blank(s) to correctly complete each sentence. For the function ƒ(x) = -4x + 2, ƒ(-2)= ______.42views
Textbook QuestionDetermine whether each relation defines a function. See Example 1. {(5,1),(3,2),(4,9),(7,8)}32views
Textbook QuestionDetermine whether each relation defines a function. See Example 1. {(8,0),(5,7),(9,3),(3,8)}28views
Textbook QuestionDetermine whether each relation defines a function. See Example 1. {(9,-2),(-3,5),(9,1)}9views
Textbook QuestionDetermine whether each relation defines a function. See Example 1. {(2,4),(0,2),(2,6)}27views
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)}35views
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)}66views
Textbook QuestionDetermine whether each relation defines a function, and give the domain and range. See Examples 1–4. 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 1–4.47views
Textbook QuestionDetermine whether each relation defines a function, and give the domain and range. See Examples 1–4.6views
Textbook QuestionDetermine whether each relation defines a function, and give the domain and range. See Examples 1–4. 29views
Textbook QuestionDetermine whether each relation defines y as a function of x. Give the domain and range. See Example 5. y=-7/(x-5)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. ƒ(-3)28views
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)32views
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)37views
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)27views
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)42views
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)40views
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)33views
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)38views
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)32views
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)25views
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)41views
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)29views
Textbook QuestionFor each function, find (a) ƒ(2) and (b) ƒ(-1).See Example 7. ƒ = {(2,5),(3,9),(-1,11),(5,3)}8views
Textbook QuestionFor each function, find (a) ƒ(2) and (b) ƒ(-1).See Example 7. ƒ = {(-1,3),(4,7),(0,6),(2,2)}23views
Textbook QuestionAn equation that defines y as a function of x is given. (b) Find ƒ(3). x-4y=830views
Textbook QuestionAn equation that defines y as a function of x is given. (b) Find ƒ(3). y+2x^2=3-x32views
Textbook QuestionFind the value of the function for the given value of x. See Example 3. ƒ(x)=[[0.5x]], for x=746views
Textbook QuestionFind the value of the function for the given value of x. See Example 3. ƒ(x)=-[[-x]], for x=2.539views
Textbook QuestionFind the value of the function for the given value of x. See Example 3. ƒ(x)=2-[[-x]], for x=3.736views
Textbook QuestionFind the value of the function for the given value of x. See Example 3. ƒ(x)=[[x/4]], for x=733views
Textbook QuestionFind the value of the function for the given value of x. See Example 3. ƒ(x)=[[3-(x/2)]], for x=133views
Textbook QuestionFind the value of the function for the given value of x. See Example 3. ƒ(x)=[[x]], for x=-√227views
Textbook QuestionDetermine whether each function is even, odd, or neither. See Example 5. ƒ(x)=-x^3+2x33views
Textbook QuestionDetermine whether each function is even, odd, or neither. See Example 5. ƒ(x)=x^5-2x^333views
Textbook QuestionDetermine whether each function is even, odd, or neither. See Example 5. ƒ(x)=0.5x^4-2x^2+634views
Textbook QuestionDetermine whether each function is even, odd, or neither. See Example 5. ƒ(x)=x^4-5x+830views
Textbook QuestionDetermine whether each function is even, odd, or neither. See Example 5. ƒ(x)=x+1/x^530views
Textbook QuestionDetermine whether each function is even, odd, or neither. See Example 5. ƒ(x)=x^4+4/x^233views
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 =30106views
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.15views
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=518views
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^29views
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^222views
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|22views
Textbook QuestionFor each graph, determine whether y is a function of x. Give the domain and range of each relation.6views
Textbook QuestionDetermine whether each relation defines a function, and give the domain and range. See Examples 1–4. 7views
Textbook QuestionDetermine whether each relation defines a function, and give the domain and range. See Examples 1–4. 12views
Textbook QuestionDetermine whether each relation defines a function, and give the domain and range. See Examples 1–4. 17views
Textbook QuestionDetermine whether each relation defines y as a function of x. Give the domain and range. See Example 5. x=y^415views
Textbook QuestionDetermine whether each relation defines y as a function of x. Give the domain and range. See Example 5. y=-6x+412views
Textbook QuestionDetermine whether each relation defines y as a function of x. Give the domain and range. See Example 5. x-y<416views
Textbook QuestionDetermine whether each relation defines y as a function of x. Give the domain and range. See Example 5. y=-√x14views
Textbook QuestionDetermine whether each relation defines y as a function of x. Give the domain and range. See Example 5. y=√(7-2x)11views
Textbook QuestionDetermine whether each relation defines y as a function of x. Give the domain and range. See Example 5. y=2/(x-3)17views
Textbook QuestionDetermine the largest open intervals of the domain over which each function is (a) increasing. See Example 9. 26views
Textbook QuestionDetermine the largest open intervals of the domain over which each function is (c) constant. See Example 9. 14views
Textbook QuestionFor each function graphed, give the minimum and maximum values of ƒ(x) and the x-values at which they occur. 18views
Textbook QuestionFor each function graphed, give the minimum and maximum values of ƒ(x) and the x-values at which they occur. 17views
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?25views
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?13views
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?19views
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?14views
Textbook QuestionTo answer each question, refer to the following basic graphs. Which one is the graph of ƒ(x)=√x? What is its domain?17views
Textbook QuestionDetermine the intervals of the domain over which each function is continuous. See Example 1. 28views
Textbook QuestionDetermine the intervals of the domain over which each function is continuous. See Example 1. 35views
Textbook QuestionDetermine the intervals of the domain over which each function is continuous. See Example 1. 30views
Textbook QuestionDetermine the intervals of the domain over which each function is continuous. See Example 1.8views
Textbook QuestionDetermine the intervals of the domain over which each function is continuous. See Example 1. 15views
Textbook QuestionGraph each piecewise-defined function. See Example 2. ƒ(x)={x-1 if x≤3, 2 if x>315views
Textbook QuestionGraph each piecewise-defined function. See Example 2. ƒ(x)={4-x if x<2, 1+2x if x≥217views
Textbook QuestionGraph each piecewise-defined function. See Example 2. ƒ(x)={2x+1 if x≥0, x if x<010views
Textbook QuestionGraph each piecewise-defined function. See Example 2. ƒ(x)={-3 if x≤1, -1 if x>111views
Textbook QuestionGraph each piecewise-defined function. See Example 2. ƒ(x)={-2x if x<-3, 3x-1 if -3≤x≤2, -4x if x>215views
Textbook QuestionGraph each piecewise-defined function. See Example 2. ƒ(x)={x^3+5 if x≤0, -x^2 if x<07views
Textbook QuestionGraph each piecewise-defined function. See Example 2. ƒ(x)={-(1/2)x^2+2 if x≤2, (1/2)x if x>29views
Textbook QuestionGive a rule for each piecewise-defined function. Also give the domain and range.6views
Textbook QuestionGive a rule for each piecewise-defined function. Also give the domain and range. 39views
Textbook QuestionGive a rule for each piecewise-defined function. Also give the domain and range. 14views
Textbook QuestionFind the value of the function for the given value of x. See Example 3. ƒ(x)={5 if 02, for x=5.611views
Textbook QuestionFind the value of the function for the given value of x. See Example 3. ƒ(x)={3 if 04, for x=6.219views
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?6views
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?8views
Textbook QuestionFor each graph, determine whether y is a function of x. Give the domain and range of each relation. 17views
Textbook QuestionFor each graph, determine whether y is a function of x. Give the domain and range of each relation. 21views
Textbook QuestionFor each graph, determine whether y is a function of x. Give the domain and range of each relation. 12views
Textbook QuestionFor each graph, determine whether y is a function of x. Give the domain and range of each relation. 14views
Textbook QuestionUse a graphing calculator to graph each equation in the standard viewing window. 3x + 4y = 65views
Textbook QuestionUse a graphing calculator to graph each equation in the standard viewing window. -2x + 5y = 106views
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 + 411views
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|15views
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 + 339views
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-17views
Textbook QuestionIn Exercises 65–70, use the graph of f to find each indicated function value. f(-3)94views
Textbook QuestionIn Exercises 65–70, use the graph of f to find each indicated function value. f(4)53views
Textbook QuestionIn Exercises 65–70, use the graph of f to find each indicated function value. f(-2)61views
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. 12views
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. 15views
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. 12views
Textbook QuestionIn Exercises 49–56, identify each equation without completing the square. 4x^2 + 4y^2 + 12x + 4y + 1 = 028views
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=023views
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 = 030views
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=028views
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 = 030views
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=039views
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 = 044views
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 = 027views
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 = 2540views
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 = 143views
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 = 427views
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 = 431views
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 = 3630views
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 = 1657views
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 = 1035views
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 = √329views
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 = 237views
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 = 555views
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 = 738views
Textbook QuestionIn Exercises 19–30, find the midpoint of each line segment with the given endpoints. (√50, −6) and (√2, 6)59views
Textbook QuestionIn Exercises 19–30, find the midpoint of each line segment with the given endpoints. (7√3, −6) and (3√3, −2)35views
Textbook QuestionIn Exercises 19–30, find the midpoint of each line segment with the given endpoints. (8, 3√5) and (−6, 7√5)28views
Textbook QuestionIn Exercises 19–30, find the midpoint of each line segment with the given endpoints. (-3, -4) and (6, −8)39views
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. 43views
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)35views
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)32views
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)37views
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)38views
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)31views
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)33views
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)48views
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)36views
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)32views
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)33views
Textbook QuestionIn Exercises 19–30, find the midpoint of each line segment with the given endpoints. (-2, -8) and (−6, −2)26views
Textbook QuestionIn Exercises 19–30, find the midpoint of each line segment with the given endpoints. (6, 8) and (2, 4)34views
Textbook QuestionExercises 103–105 will help you prepare for the material covered in the next section. Solve by completing the square: y² – 6y — 4 = 0.33views
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 1.32views
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.28views
Textbook QuestionFill in the blank(s) to correctly complete each sentence. The circle with center (3, 6) and radius 4 has equation _________.5views
Textbook QuestionIn Exercises 109–111, give the center and radius of each circle. x^2 + y^2 - 4x + 2y - 4 = 054views
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 = 672views
Textbook QuestionIn Exercises 105–106, find the midpoint of each line segment with the given endpoints. (2, 6) and (-12, 4)71views
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)14views
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)17views
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__________ .15views
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 618views
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 611views
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 422views
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 79views
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 49views
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 √214views
Textbook QuestionUse each graph to determine an equation of the circle in (a) center-radius form and (b) general form.6views
Textbook QuestionUse each graph to determine an equation of the circle in (a) center-radius form and (b) general form. 8views
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=015views
Textbook QuestionGive the center and radius of the circle represented by each equation. See Examples 3 and 4. x^2+y^2-4x+12y=-412views
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=09views
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=-544views
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=011views
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=016views
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=020views
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.23views
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)22views
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)2views
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)4views
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 = 438views
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 - 334views
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)34views