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)253views
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)272views
Textbook QuestionIn Exercises 1–30, find the domain of each function. f(x) = 1/(x+7) + 3/(x-9)340views
Textbook QuestionLet ƒ(x)=x^2+3 and g(x)=-2x+6. Find each of the following. See Example 1. (ƒ+g)(-5)302views
Textbook QuestionLet ƒ(x)=x^2+3 and g(x)=-2x+6. Find each of the following. See Example 1. (ƒ-g)(4)246views
Textbook QuestionLet ƒ(x)=x^2+3 and g(x)=-2x+6. Find each of the following. See Example 1. (ƒ/g)(5)242views
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-6244views
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+3279views
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+3239views
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/x247views
Textbook QuestionIn Exercises 1–30, find the domain of each function. f(x) = (2x+7)/(x^3 - 5x^2 - 4x+20)262views
Textbook QuestionIn Exercises 31–50, find f−g and determine the domain for each function. f(x) = 2x + 3, g(x) = x − 1288views
Textbook QuestionIn Exercises 31–50, find f/g and determine the domain for each function. f(x) = x -5, g(x) = 3x²306views
Textbook QuestionIn Exercises 31–50, find fg and determine the domain for each function. f(x) = x -5, g(x) = 3x²413views
Textbook QuestionIn Exercises 31–50, find fg and determine the domain for each function. f(x) = 3 − x², g(x) = x² + 2x − 17497views
Textbook QuestionIn Exercises 31–50, find f−g and determine the domain for each function. f(x) = 3 − x², g(x) = x² + 2x − 16270views
Textbook QuestionIn Exercises 31–50, find ƒ+g and determine the domain for each function. f(x) = 3 − x², g(x) = x² + 2x − 15268views
Textbook QuestionIn Exercises 31–50, find ƒ+g and determine the domain for each function. f(x) = √x, g(x) = x − 4288views
Textbook QuestionIn Exercises 31–50, find f/g and determine the domain for each function. f(x) = √x, g(x) = x − 4311views
Textbook QuestionIn Exercises 31–50, find ƒ-g and determine the domain for each function. f(x) = 2 + 1/x, g(x) = 1/x264views
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)397views
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)275views
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+2256views
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)321views
Textbook QuestionIn Exercises 31–50, find f−g and determine the domain for each function. f(x) = √(x +4), g(x) = √(x − 1)344views
Textbook QuestionIn Exercises 31–50, find ƒ+g and determine the domain for each function. f(x) = √(x +4), g(x) = √(x − 1)295views
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)326views
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)307views
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^2247views
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^2251views
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+1260views
Textbook QuestionIn Exercises 51–66, find a. (fog) (2) b. (go f) (2) f(x)=4x-3, g(x) = 5x² - 2248views
Textbook QuestionLet ƒ(x)=2x-3 and g(x)=-x+3. Find each function value. See Example 5. (ƒ∘g)(4)240views
Textbook QuestionIn Exercises 51–66, find a. (fog) (x) b. (go f) (x) f(x) = x²+2, g(x) = x² – 2241views
Textbook QuestionIn Exercises 51–66, find a. (fog) (x) b. (go f) (x) f(x) = 4-x, g(x) = 2x² +x+5340views
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)295views
Textbook QuestionIn Exercises 51–66, find a. (fog) (x) b. (go f) (x). f(x) = √x, g(x) = x − 1277views
Textbook QuestionLet ƒ(x)=2x-3 and g(x)=-x+3. Find each function value. See Example 5. (ƒ∘ƒ)(2)272views
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)])267views
Textbook QuestionIn Exercises 67-74, find a. (fog) (x) b. the domain of f o g. f(x) = 2/(x+3), g(x) = 1/x576views
Textbook QuestionIn Exercises 67-74, find a. (fog) (x) b. the domain of f o g. f(x) = x/(x+1), g(x) = 4/x521views
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+7750views
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-1334views
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+3305views
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)345views
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^2-4387views
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|330views
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+1420views
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+1924views
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)241views
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)^4765views
Textbook QuestionIn Exercises 91–94, use the graphs of f and g to evaluate each composite function. (fog) (-1)482views
Textbook QuestionLet ƒ(x) = 3x^2 - 4 and g(x) = x^2 - 3x -4. Find each of the following. (f+g)(2k)422views
Textbook QuestionLet ƒ(x) = √(x-2) and g(x) = x^2. Find each of the following, if possible. (ƒ ○ g)(x)272views
Textbook QuestionLet ƒ(x) = √(x-2) and g(x) = x^2. Find each of the following, if possible. (f ○ g)(-6)255views
Textbook QuestionThe graphs of two functions ƒ and g are shown in the figures. Find (g∘ƒ)(3).292views
Textbook QuestionFill in the blank to correctly complete each sentence. The point (-1, 3) lies in quadrant ________ in the rectangular coordinate system.72views
Textbook QuestionFill in the blank to correctly complete each sentence. The point (4,_____ ) lies on the graph of the equation y = 3x - 6.82views
Textbook QuestionFill in the blank to correctly complete each sentence. The y-intercept of the graph of y = -2x + 6 is ________.57views
Textbook QuestionDetermine whether each statement is true or false. If false, explain why. The graph of y = x^2 + 2 has no x-intercepts.62views
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 2.70views
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)60views
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)57views
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)72views
Textbook QuestionDetermine whether the three points are the vertices of a right triangle. See Example 3. (-4,1),(1,4),(-6,-1)64views
Textbook QuestionDetermine whether the three points are the vertices of a right triangle. See Example 3. (-2,-5),(1,7),(3,15)57views
Textbook QuestionDetermine whether the three points are collinear. See Example 4. (0,-7),(-3,5),(2,-15)93views
Textbook QuestionDetermine whether the three points are collinear. See Example 4. (0,9),(-3,-7),(2,-19)76views
Textbook QuestionDetermine whether the three points are collinear. See Example 4. (-7,4),(6,-2),(-1,1)72views
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)87views
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)60views
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)67views
Textbook QuestionFill in the blank(s) to correctly complete each sentence. The domain of the relation { (3,5), (4, 9), (10, 13) } is _____.69views
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 ________ .72views
Textbook QuestionFill in the blank(s) to correctly complete each sentence. For the function ƒ(x) = -4x + 2, ƒ(-2)= ______.72views
Textbook QuestionDetermine whether each relation defines a function. See Example 1. {(5,1),(3,2),(4,9),(7,8)}64views
Textbook QuestionDetermine whether each relation defines a function. See Example 1. {(8,0),(5,7),(9,3),(3,8)}52views
Textbook QuestionDetermine whether each relation defines a function. See Example 1. {(9,-2),(-3,5),(9,1)}47views
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)}70views
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)}101views
Textbook QuestionDetermine whether each relation defines a function, and give the domain and range. See Examples 1–4. 81views
Textbook QuestionDetermine whether each relation defines a function, and give the domain and range. See Examples 1–4. 60views
Textbook QuestionDetermine whether each relation defines a function, and give the domain and range. See Examples 1–4.79views
Textbook QuestionDetermine whether each relation defines a function, and give the domain and range. See Examples 1–4.34views
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)152views
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)56views
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)60views
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)63views
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)60views
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)67views
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)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(p)63views
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)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. g(-x)67views
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)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. ƒ(a+4)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(2m-3)58views
Textbook QuestionFor each function, find (a) ƒ(2) and (b) ƒ(-1).See Example 7. ƒ = {(2,5),(3,9),(-1,11),(5,3)}43views
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=859views
Textbook QuestionAn equation that defines y as a function of x is given. (b) Find ƒ(3). y+2x^2=3-x59views
Textbook QuestionFind the value of the function for the given value of x. See Example 3. ƒ(x)=[[0.5x]], for x=775views
Textbook QuestionFind the value of the function for the given value of x. See Example 3. ƒ(x)=-[[-x]], for x=2.567views
Textbook QuestionFind the value of the function for the given value of x. See Example 3. ƒ(x)=2-[[-x]], for x=3.765views
Textbook QuestionFind the value of the function for the given value of x. See Example 3. ƒ(x)=[[x/4]], for x=768views
Textbook QuestionFind the value of the function for the given value of x. See Example 3. ƒ(x)=[[3-(x/2)]], for x=164views
Textbook QuestionFind the value of the function for the given value of x. See Example 3. ƒ(x)=[[x]], for x=-√259views
Textbook QuestionDetermine whether each function is even, odd, or neither. See Example 5. ƒ(x)=-x^3+2x62views
Textbook QuestionDetermine whether each function is even, odd, or neither. See Example 5. ƒ(x)=x^5-2x^366views
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+863views
Textbook QuestionDetermine whether each function is even, odd, or neither. See Example 5. ƒ(x)=x+1/x^563views
Textbook QuestionDetermine whether each function is even, odd, or neither. See Example 5. ƒ(x)=x^4+4/x^264views
Textbook QuestionDetermine whether each equation defines y as a function of x. x = (1/3)(y^2)124views
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 =30137views
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.43views
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=547views
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^241views
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|57views
Textbook QuestionFor each graph, determine whether y is a function of x. Give the domain and range of each relation.36views
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. 41views
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 y as a function of x. Give the domain and range. See Example 5. x=y^446views
Textbook QuestionDetermine whether each relation defines y as a function of x. Give the domain and range. See Example 5. y=-6x+444views
Textbook QuestionDetermine whether each relation defines y as a function of x. Give the domain and range. See Example 5. x-y<447views
Textbook QuestionDetermine whether each relation defines y as a function of x. Give the domain and range. See Example 5. y=-√x43views
Textbook QuestionDetermine whether each relation defines y as a function of x. Give the domain and range. See Example 5. y=√(7-2x)40views
Textbook QuestionDetermine whether each relation defines y as a function of x. Give the domain and range. See Example 5. y=2/(x-3)51views
Textbook QuestionDetermine the largest open intervals of the domain over which each function is (a) increasing. See Example 9. 60views
Textbook QuestionDetermine the largest open intervals of the domain over which each function is (c) constant. See Example 9. 47views
Textbook QuestionFor each function graphed, give the minimum and maximum values of ƒ(x) and the x-values at which they occur. 44views
Textbook QuestionFor each function graphed, give the minimum and maximum values of ƒ(x) and the x-values at which they occur. 48views
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?58views
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?42views
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?43views
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?45views
Textbook QuestionTo answer each question, refer to the following basic graphs. Which one is the graph of ƒ(x)=√x? What is its domain?47views
Textbook QuestionDetermine the intervals of the domain over which each function is continuous. See Example 1. 57views
Textbook QuestionDetermine the intervals of the domain over which each function is continuous. See Example 1. 68views
Textbook QuestionDetermine the intervals of the domain over which each function is continuous. See Example 1. 59views
Textbook QuestionDetermine the intervals of the domain over which each function is continuous. See Example 1.41views
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>343views
Textbook QuestionGraph each piecewise-defined function. See Example 2. ƒ(x)={4-x if x<2, 1+2x if x≥249views
Textbook QuestionGraph each piecewise-defined function. See Example 2. ƒ(x)={2x+1 if x≥0, x if x<051views
Textbook QuestionGraph each piecewise-defined function. See Example 2. ƒ(x)={-3 if x≤1, -1 if x>148views
Textbook QuestionGraph each piecewise-defined function. See Example 2. ƒ(x)={-2x if x<-3, 3x-1 if -3≤x≤2, -4x if x>245views
Textbook QuestionGraph each piecewise-defined function. See Example 2. ƒ(x)={x^3+5 if x≤0, -x^2 if x<037views
Textbook QuestionGraph each piecewise-defined function. See Example 2. ƒ(x)={-(1/2)x^2+2 if x≤2, (1/2)x if x>222views
Textbook QuestionGive a rule for each piecewise-defined function. Also give the domain and range.41views
Textbook QuestionGive a rule for each piecewise-defined function. Also give the domain and range. 75views
Textbook QuestionGive a rule for each piecewise-defined function. Also give the domain and range. 45views
Textbook QuestionFind the value of the function for the given value of x. See Example 3. ƒ(x)={5 if 02, for x=5.642views
Textbook QuestionFind the value of the function for the given value of x. See Example 3. ƒ(x)={3 if 04, for x=6.244views
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?37views
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. 46views
Textbook QuestionFor each graph, determine whether y is a function of x. Give the domain and range of each relation. 51views
Textbook QuestionFor each graph, determine whether y is a function of x. Give the domain and range of each relation. 42views
Textbook QuestionFor each graph, determine whether y is a function of x. Give the domain and range of each relation. 43views
Textbook QuestionUse a graphing calculator to graph each equation in the standard viewing window. 3x + 4y = 631views
Textbook QuestionUse a graphing calculator to graph each equation in the standard viewing window. -2x + 5y = 1037views
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 + 440views
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|50views
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 + 367views
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-140views
Textbook QuestionIn Exercises 65–70, use the graph of f to find each indicated function value. f(-3)131views
Textbook QuestionIn Exercises 65–70, use the graph of f to find each indicated function value. f(4)66views
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. 43views
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. 45views
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. 41views
Textbook QuestionIn Exercises 49–56, identify each equation without completing the square. 4x^2 + 4y^2 + 12x + 4y + 1 = 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+3x+5y+9/4=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 − x + 2y + 1 = 057views
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 = 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+8x-2y-8=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 – 10x – 6y – 30 = 075views
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 = 060views
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 = 2567views
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 = 174views
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 = 462views
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 = 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 + 1)² = 3666views
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 = 1682views
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 = 1066views
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 = √366views
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 = 273views
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 = 585views
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 = 768views
Textbook QuestionIn Exercises 19–30, find the midpoint of each line segment with the given endpoints. (√50, −6) and (√2, 6)91views
Textbook QuestionIn Exercises 19–30, find the midpoint of each line segment with the given endpoints. (7√3, −6) and (3√3, −2)64views
Textbook QuestionIn Exercises 19–30, find the midpoint of each line segment with the given endpoints. (8, 3√5) and (−6, 7√5)58views
Textbook QuestionIn Exercises 19–30, find the midpoint of each line segment with the given endpoints. (-3, -4) and (6, −8)67views
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. 71views
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)66views
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)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. (3√3, √5) and (−√3, 4√5)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. (0, -√2) and (√7,0)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. (0, −√3) and (√5, 0)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. (3.5, 8.2) and (-0.5, 6.2)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, -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)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. (4, -1) and (-6, 3)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. (2, 3) and (14, 8)58views
Textbook QuestionIn Exercises 19–30, find the midpoint of each line segment with the given endpoints. (-2, -8) and (−6, −2)57views
Textbook QuestionIn Exercises 19–30, find the midpoint of each line segment with the given endpoints. (6, 8) and (2, 4)64views
Textbook QuestionExercises 103–105 will help you prepare for the material covered in the next section. Solve by completing the square: y² – 6y — 4 = 0.67views
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 1.68views
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.60views
Textbook QuestionFill in the blank(s) to correctly complete each sentence. The circle with center (3, 6) and radius 4 has equation _________.36views
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 = 6114views
Textbook QuestionIn Exercises 105–106, find the midpoint of each line segment with the given endpoints. (2, 6) and (-12, 4)106views
Textbook QuestionFind the given distances between points P, Q, R, and S on a number line, with coordi-nates -4, -1, 8, and 12, respectively. d(P, Q)48views
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)42views
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__________ .47views
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 651views
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 644views
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 454views
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 741views
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 √243views
Textbook QuestionUse each graph to determine an equation of the circle in (a) center-radius form and (b) general form.35views
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=044views
Textbook QuestionGive the center and radius of the circle represented by each equation. See Examples 3 and 4. x^2+y^2-4x+12y=-442views
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=037views
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=023views
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=043views
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=050views
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.55views
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)52views
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)11views
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)19views
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 = 478views
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 - 364views
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)64views
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)}445views9rank
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)}367views16rank
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).329views6rank
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).329views7rank1comments
Multiple ChoiceFind the domain and range of the following graph (write your answer using interval notation).2806views2comments
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.407views10rank2comments
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.362views2rank2comments