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)251views
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)270views
Textbook QuestionIn Exercises 1–30, find the domain of each function. f(x) = 1/(x+7) + 3/(x-9)336views
Textbook QuestionLet ƒ(x)=x^2+3 and g(x)=-2x+6. Find each of the following. See Example 1. (ƒ+g)(-5)301views
Textbook QuestionLet ƒ(x)=x^2+3 and g(x)=-2x+6. Find each of the following. See Example 1. (ƒ-g)(4)245views
Textbook QuestionLet ƒ(x)=x^2+3 and g(x)=-2x+6. Find each of the following. See Example 1. (ƒ/g)(5)241views
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-6242views
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+3277views
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+3238views
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/x246views
Textbook QuestionIn Exercises 1–30, find the domain of each function. f(x) = (2x+7)/(x^3 - 5x^2 - 4x+20)261views
Textbook QuestionIn Exercises 31–50, find f−g and determine the domain for each function. f(x) = 2x + 3, g(x) = x − 1286views
Textbook QuestionIn Exercises 31–50, find f/g and determine the domain for each function. f(x) = x -5, g(x) = 3x²304views
Textbook QuestionIn Exercises 31–50, find fg and determine the domain for each function. f(x) = x -5, g(x) = 3x²410views
Textbook QuestionIn Exercises 31–50, find fg and determine the domain for each function. f(x) = 3 − x², g(x) = x² + 2x − 17494views
Textbook QuestionIn Exercises 31–50, find f−g and determine the domain for each function. f(x) = 3 − x², g(x) = x² + 2x − 16268views
Textbook QuestionIn Exercises 31–50, find ƒ+g and determine the domain for each function. f(x) = 3 − x², g(x) = x² + 2x − 15267views
Textbook QuestionIn Exercises 31–50, find ƒ+g and determine the domain for each function. f(x) = √x, g(x) = x − 4284views
Textbook QuestionIn Exercises 31–50, find f/g and determine the domain for each function. f(x) = √x, g(x) = x − 4308views
Textbook QuestionIn Exercises 31–50, find ƒ-g and determine the domain for each function. f(x) = 2 + 1/x, g(x) = 1/x261views
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)393views
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)273views
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+2254views
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)320views
Textbook QuestionIn Exercises 31–50, find f−g and determine the domain for each function. f(x) = √(x +4), g(x) = √(x − 1)342views
Textbook QuestionIn Exercises 31–50, find ƒ+g and determine the domain for each function. f(x) = √(x +4), g(x) = √(x − 1)293views
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)324views
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)306views
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^2245views
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^2250views
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+1258views
Textbook QuestionIn Exercises 51–66, find a. (fog) (2) b. (go f) (2) f(x)=4x-3, g(x) = 5x² - 2246views
Textbook QuestionLet ƒ(x)=2x-3 and g(x)=-x+3. Find each function value. See Example 5. (ƒ∘g)(4)239views
Textbook QuestionIn Exercises 51–66, find a. (fog) (x) b. (go f) (x) f(x) = x²+2, g(x) = x² – 2239views
Textbook QuestionIn Exercises 51–66, find a. (fog) (x) b. (go f) (x) f(x) = 4-x, g(x) = 2x² +x+5337views
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)293views
Textbook QuestionIn Exercises 51–66, find a. (fog) (x) b. (go f) (x). f(x) = √x, g(x) = x − 1275views
Textbook QuestionLet ƒ(x)=2x-3 and g(x)=-x+3. Find each function value. See Example 5. (ƒ∘ƒ)(2)270views
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)])265views
Textbook QuestionIn Exercises 67-74, find a. (fog) (x) b. the domain of f o g. f(x) = 2/(x+3), g(x) = 1/x567views
Textbook QuestionIn Exercises 67-74, find a. (fog) (x) b. the domain of f o g. f(x) = x/(x+1), g(x) = 4/x516views
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+7741views
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-1331views
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+3303views
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)343views
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^2-4383views
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|329views
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+1417views
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+1918views
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)238views
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)^4760views
Textbook QuestionIn Exercises 91–94, use the graphs of f and g to evaluate each composite function. (fog) (-1)475views
Textbook QuestionLet ƒ(x) = 3x^2 - 4 and g(x) = x^2 - 3x -4. Find each of the following. (f+g)(2k)416views
Textbook QuestionLet ƒ(x) = √(x-2) and g(x) = x^2. Find each of the following, if possible. (ƒ ○ g)(x)269views
Textbook QuestionLet ƒ(x) = √(x-2) and g(x) = x^2. Find each of the following, if possible. (f ○ g)(-6)254views
Textbook QuestionThe graphs of two functions ƒ and g are shown in the figures. Find (g∘ƒ)(3).289views
Textbook QuestionFill in the blank to correctly complete each sentence. The point (-1, 3) lies in quadrant ________ in the rectangular coordinate system.71views
Textbook QuestionFill in the blank to correctly complete each sentence. The point (4,_____ ) lies on the graph of the equation y = 3x - 6.81views
Textbook QuestionFill in the blank to correctly complete each sentence. The y-intercept of the graph of y = -2x + 6 is ________.56views
Textbook QuestionDetermine whether each statement is true or false. If false, explain why. The graph of y = x^2 + 2 has no x-intercepts.60views
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 2.68views
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)59views
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)56views
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)21views
Textbook QuestionDetermine whether the three points are the vertices of a right triangle. See Example 3. (-2,-8),(0,-4),(-4,-7)71views
Textbook QuestionDetermine whether the three points are the vertices of a right triangle. See Example 3. (-4,1),(1,4),(-6,-1)62views
Textbook QuestionDetermine whether the three points are the vertices of a right triangle. See Example 3. (-2,-5),(1,7),(3,15)56views
Textbook QuestionDetermine whether the three points are collinear. See Example 4. (0,-7),(-3,5),(2,-15)92views
Textbook QuestionDetermine whether the three points are collinear. See Example 4. (0,9),(-3,-7),(2,-19)75views
Textbook QuestionDetermine whether the three points are collinear. See Example 4. (-7,4),(6,-2),(-1,1)70views
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)86views
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)59views
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)66views
Textbook QuestionFill in the blank(s) to correctly complete each sentence. The domain of the relation { (3,5), (4, 9), (10, 13) } is _____.68views
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 ________ .70views
Textbook QuestionFill in the blank(s) to correctly complete each sentence. For the function ƒ(x) = -4x + 2, ƒ(-2)= ______.71views
Textbook QuestionDetermine whether each relation defines a function. See Example 1. {(5,1),(3,2),(4,9),(7,8)}63views
Textbook QuestionDetermine whether each relation defines a function. See Example 1. {(8,0),(5,7),(9,3),(3,8)}51views
Textbook QuestionDetermine whether each relation defines a function. See Example 1. {(9,-2),(-3,5),(9,1)}46views
Textbook QuestionDetermine whether each relation defines a function. See Example 1. {(2,4),(0,2),(2,6)}44views
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)}68views
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)}100views
Textbook QuestionDetermine whether each relation defines a function, and give the domain and range. See Examples 1–4. 78views
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 a function, and give the domain and range. See Examples 1–4.78views
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. 43views
Textbook QuestionDetermine whether each relation defines y as a function of x. Give the domain and range. See Example 5. y=-7/(x-5)151views
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)55views
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)58views
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)62views
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)59views
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)65views
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)70views
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)61views
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)65views
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)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(x+2)54views
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)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. ƒ(2m-3)57views
Textbook QuestionFor each function, find (a) ƒ(2) and (b) ƒ(-1).See Example 7. ƒ = {(2,5),(3,9),(-1,11),(5,3)}42views
Textbook QuestionFor each function, find (a) ƒ(2) and (b) ƒ(-1).See Example 7. ƒ = {(-1,3),(4,7),(0,6),(2,2)}38views
Textbook QuestionAn equation that defines y as a function of x is given. (b) Find ƒ(3). x-4y=857views
Textbook QuestionAn equation that defines y as a function of x is given. (b) Find ƒ(3). y+2x^2=3-x58views
Textbook QuestionFind the value of the function for the given value of x. See Example 3. ƒ(x)=[[0.5x]], for x=774views
Textbook QuestionFind the value of the function for the given value of x. See Example 3. ƒ(x)=-[[-x]], for x=2.566views
Textbook QuestionFind the value of the function for the given value of x. See Example 3. ƒ(x)=2-[[-x]], for x=3.764views
Textbook QuestionFind the value of the function for the given value of x. See Example 3. ƒ(x)=[[x/4]], for x=767views
Textbook QuestionFind the value of the function for the given value of x. See Example 3. ƒ(x)=[[3-(x/2)]], for x=163views
Textbook QuestionFind the value of the function for the given value of x. See Example 3. ƒ(x)=[[x]], for x=-√258views
Textbook QuestionDetermine whether each function is even, odd, or neither. See Example 5. ƒ(x)=-x^3+2x59views
Textbook QuestionDetermine whether each function is even, odd, or neither. See Example 5. ƒ(x)=x^5-2x^365views
Textbook QuestionDetermine whether each function is even, odd, or neither. See Example 5. ƒ(x)=0.5x^4-2x^2+661views
Textbook QuestionDetermine whether each function is even, odd, or neither. See Example 5. ƒ(x)=x^4-5x+861views
Textbook QuestionDetermine whether each function is even, odd, or neither. See Example 5. ƒ(x)=x+1/x^562views
Textbook QuestionDetermine whether each function is even, odd, or neither. See Example 5. ƒ(x)=x^4+4/x^263views
Textbook QuestionDetermine whether each equation defines y as a function of x. x = (1/3)(y^2)123views
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 =30136views
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.42views
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=546views
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^240views
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^233views
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|56views
Textbook QuestionFor each graph, determine whether y is a function of x. Give the domain and range of each relation.34views
Textbook QuestionDetermine whether each relation defines a function, and give the domain and range. See Examples 1–4. 27views
Textbook QuestionDetermine whether each relation defines a function, and give the domain and range. See Examples 1–4. 40views
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. x=y^445views
Textbook QuestionDetermine whether each relation defines y as a function of x. Give the domain and range. See Example 5. y=-6x+442views
Textbook QuestionDetermine whether each relation defines y as a function of x. Give the domain and range. See Example 5. x-y<445views
Textbook QuestionDetermine whether each relation defines y as a function of x. Give the domain and range. See Example 5. y=-√x42views
Textbook QuestionDetermine whether each relation defines y as a function of x. Give the domain and range. See Example 5. y=√(7-2x)39views
Textbook QuestionDetermine whether each relation defines y as a function of x. Give the domain and range. See Example 5. y=2/(x-3)49views
Textbook QuestionDetermine the largest open intervals of the domain over which each function is (a) increasing. See Example 9. 59views
Textbook QuestionDetermine the largest open intervals of the domain over which each function is (c) constant. See Example 9. 46views
Textbook QuestionFor each function graphed, give the minimum and maximum values of ƒ(x) and the x-values at which they occur. 43views
Textbook QuestionFor each function graphed, give the minimum and maximum values of ƒ(x) and the x-values at which they occur. 47views
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?57views
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?40views
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?42views
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?44views
Textbook QuestionTo answer each question, refer to the following basic graphs. Which one is the graph of ƒ(x)=√x? What is its domain?46views
Textbook QuestionDetermine the intervals of the domain over which each function is continuous. See Example 1. 56views
Textbook QuestionDetermine the intervals of the domain over which each function is continuous. See Example 1. 66views
Textbook QuestionDetermine the intervals of the domain over which each function is continuous. See Example 1. 58views
Textbook QuestionDetermine the intervals of the domain over which each function is continuous. See Example 1.40views
Textbook QuestionDetermine the intervals of the domain over which each function is continuous. See Example 1. 30views
Textbook QuestionGraph each piecewise-defined function. See Example 2. ƒ(x)={x-1 if x≤3, 2 if x>342views
Textbook QuestionGraph each piecewise-defined function. See Example 2. ƒ(x)={4-x if x<2, 1+2x if x≥248views
Textbook QuestionGraph each piecewise-defined function. See Example 2. ƒ(x)={2x+1 if x≥0, x if x<048views
Textbook QuestionGraph each piecewise-defined function. See Example 2. ƒ(x)={-3 if x≤1, -1 if x>146views
Textbook QuestionGraph each piecewise-defined function. See Example 2. ƒ(x)={-2x if x<-3, 3x-1 if -3≤x≤2, -4x if x>244views
Textbook QuestionGraph each piecewise-defined function. See Example 2. ƒ(x)={x^3+5 if x≤0, -x^2 if x<036views
Textbook QuestionGraph each piecewise-defined function. See Example 2. ƒ(x)={-(1/2)x^2+2 if x≤2, (1/2)x if x>221views
Textbook QuestionGive a rule for each piecewise-defined function. Also give the domain and range.40views
Textbook QuestionGive a rule for each piecewise-defined function. Also give the domain and range. 74views
Textbook QuestionGive a rule for each piecewise-defined function. Also give the domain and range. 43views
Textbook QuestionFind the value of the function for the given value of x. See Example 3. ƒ(x)={5 if 02, for x=5.641views
Textbook QuestionFind the value of the function for the given value of x. See Example 3. ƒ(x)={3 if 04, for x=6.243views
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?36views
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?23views
Textbook QuestionFor each graph, determine whether y is a function of x. Give the domain and range of each relation. 45views
Textbook QuestionFor each graph, determine whether y is a function of x. Give the domain and range of each relation. 49views
Textbook QuestionFor each graph, determine whether y is a function of x. Give the domain and range of each relation. 41views
Textbook QuestionFor each graph, determine whether y is a function of x. Give the domain and range of each relation. 42views
Textbook QuestionUse a graphing calculator to graph each equation in the standard viewing window. 3x + 4y = 630views
Textbook QuestionUse a graphing calculator to graph each equation in the standard viewing window. -2x + 5y = 1036views
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 + 439views
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|49views
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 + 366views
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-138views
Textbook QuestionIn Exercises 65–70, use the graph of f to find each indicated function value. f(-3)129views
Textbook QuestionIn Exercises 65–70, use the graph of f to find each indicated function value. f(4)65views
Textbook QuestionIn Exercises 65–70, use the graph of f to find each indicated function value. f(-2)76views
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. 42views
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. 42views
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. 40views
Textbook QuestionIn Exercises 49–56, identify each equation without completing the square. 4x^2 + 4y^2 + 12x + 4y + 1 = 054views
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=055views
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 = 056views
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=056views
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 = 054views
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=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 – 10x – 6y – 30 = 074views
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 = 058views
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 = 2566views
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 = 173views
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 = 461views
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 = 460views
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 = 3665views
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 = 1681views
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 = 1064views
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 = √364views
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 = 270views
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 = 583views
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 = 767views
Textbook QuestionIn Exercises 19–30, find the midpoint of each line segment with the given endpoints. (√50, −6) and (√2, 6)90views
Textbook QuestionIn Exercises 19–30, find the midpoint of each line segment with the given endpoints. (7√3, −6) and (3√3, −2)62views
Textbook QuestionIn Exercises 19–30, find the midpoint of each line segment with the given endpoints. (8, 3√5) and (−6, 7√5)57views
Textbook QuestionIn Exercises 19–30, find the midpoint of each line segment with the given endpoints. (-3, -4) and (6, −8)66views
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. 70views
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)65views
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)62views
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)67views
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)63views
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)61views
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)67views
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)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. (0, 0) and (3,-4)62views
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)60views
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)57views
Textbook QuestionIn Exercises 19–30, find the midpoint of each line segment with the given endpoints. (-2, -8) and (−6, −2)56views
Textbook QuestionIn Exercises 19–30, find the midpoint of each line segment with the given endpoints. (6, 8) and (2, 4)61views
Textbook QuestionExercises 103–105 will help you prepare for the material covered in the next section. Solve by completing the square: y² – 6y — 4 = 0.66views
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 1.67views
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.59views
Textbook QuestionFill in the blank(s) to correctly complete each sentence. The circle with center (3, 6) and radius 4 has equation _________.35views
Textbook QuestionIn Exercises 109–111, give the center and radius of each circle. x^2 + y^2 - 4x + 2y - 4 = 066views
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 = 6109views
Textbook QuestionIn Exercises 105–106, find the midpoint of each line segment with the given endpoints. (2, 6) and (-12, 4)105views
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)47views
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)41views
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__________ .46views
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 650views
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 643views
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 453views
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 740views
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 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 (√2, √2), radius √242views
Textbook QuestionUse each graph to determine an equation of the circle in (a) center-radius form and (b) general form.34views
Textbook QuestionUse each graph to determine an equation of the circle in (a) center-radius form and (b) general form. 21views
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=043views
Textbook QuestionGive the center and radius of the circle represented by each equation. See Examples 3 and 4. x^2+y^2-4x+12y=-440views
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=036views
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=-5418views
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=022views
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=042views
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=049views
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.54views
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)51views
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)10views
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)18views
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 = 477views
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 - 363views
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)63views
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)}443views9rank
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)}366views16rank
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).328views6rank
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).326views7rank1comments
Multiple ChoiceFind the domain and range of the following graph (write your answer using interval notation).2790views2comments
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.406views10rank2comments
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.361views2rank2comments