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Bartleby Sitemap - Textbook Solutions

All Textbook Solutions for Algebra and Trigonometry (MindTap Course List)

82E 83E 84E 85E 86E 87E 88E 89E 90E 91E 92E 93-94 Graphing the Absolute Value of a Function: These exercise show how the graph of y=|f(x)| is obtained from the graph of y=f(x) . The graphs of f(x)=x24 and g(x)=|x24| are shown. Explain how the graph of g is obtained from the graph of f.94E 95E 96E Bungee Jumping Luisa goes bungee jumping from a 500-ft-high bridge. The graph shows Luisas height ht in ft after t seconds. Describe in words what the graph indicates about Luisas bungee jump. Suppose Luisa goes bungee jumping from a 400-ft-high bridge. Sketch a new graph that shows Luisas height Ht after t seconds. What transformation must be performed on the function h to obtain the function H? Express the function H in terms of h.Swimming Laps Miyuki practices swimming laps with her team. The function y=f(t) graphed below gives her distance in meters from the starting edge of the pool t seconds after she starts her laps. Describe in words Miyukis swim practice. What is her average speed for the first 30 s? Graph the function y=1.2f(t). How is the graph of the new function related to the graph of the original function? What is Miyukis new average speed for the first 30 s?Field Trip A class of fourth graders walks to a park on a field trip. The function y=f(t) graphed below gives their distance from school in ft t minutes after they left school. What is the average speed going to the park? How long was the class at the park? How far away is the park? Graph the function y=0.5f(t). How is the graph of the new function related to the graph of the original function? What is the average speed going to the new park? How far is the new park? Graph the function y=f(t10). How is the graph of the new function related to the graph of the original function? How does the field trip described by this function differ from the original trip?100E 101E 102E 103E 104E From the graph of f and g in the figure, we find f+g2=____________ f-g2=___________ fg2=________________ fg2=________________2E If the rule of the function f is add one and the rule of the function g is multiply by 2, then the rule of fg is ____________________________, and the rule of gf is ____________________4E 5E 6E 7E 8E 9E 10E 11E 12E 13E 14E 15E Combining Functions Find f+g,fg,fg,andf/g and their domains. f(x)=2x+1,g(x)=xx+1 17E 18E 19E 20E 21E Graphical Addition Use graphical addition to sketch the graph of f+g.23E 24E 25E 26E 27E 28E 29E 30E 31E 32E 33-38 Composition Using a Graph Use the given graphs of f and g to evaluate the expression. f(g(2))34E 35E 36E 37E 38E 39E 40E 41E 42E 43E 44E 45E 46E 47E 48E 49E 50E 51E 52E 47-58 Composition of Functions Find the function fg,gf,ff, and gg and their domains f(x)=|x|,g(x)=2x+3 54E 55E 56E 57E 58E 59E 60E 61E 62E 63E 64E 65E 63-68 Expressing a function as a Composition Express the function in the form fg. G(x)=1x+3 67E 68E 69E 70E 71E 72E 73E 74E 75E 76E 77E 78E 79E 80E 81E 82E 83E 84E 1E 2E 3E 4E 5E 6E 7-12. One-to-One Function? A graph of a function f is given. Determine whether f is one-to-one.8E 9E 10E 11E 12E 13E 14E 15E 16E 17E 18E 19E 20E 21E 22E 23E 24E 25E 26E 27E 28E 29E 30E 31E 32E 33E 34E 35E 36E 37E 38E 39E 40E 41E 42E 43E 44E 45E 46E 47E 48E 49E 50E 51E 52E 53E 54E 55E 56E 57E 58E 59E 60E 61E 62E 63E 64E 65E 66E 67E 68E 69E 70E 71E 72E 73E 74E 75E 76E 77E 78E 79E 80E 81E 82E 83E 84E 85E 86E 87E 88E 89E 90E 91E 92E Pizza Cost Marcellos Pizza charges a base price of 16 for a large pizza plus 1.50 for each additional topping. a Find a function f that models the price of a pizza with n toppings. b Find the inverse of the function f. What does f-1 represent? c If a pizza costs 25, how many topping does it have?94E 95E 96E 97E 98E 99E 100E 101E 102E 103E 104E 105E 1CC 2CC 3CC 4CC 5CC Define each concept, and give an example of each. a Increasing function b Decreasing function c Constant function 7CC 8CC 9CC 10CC 11CC 12CC 13CC 14CC 15CC 1E 2E 3E 4E 5E 6E 7E 8E 9E 10E 11E 12E 13E 14E 15E 16E 17E 18E 19E 20E 21E 22E 23E 24E 25E 26E 27E 23-38 Graphing Functions Sketch a graph of the function. Use transformations of functions whenever possible. fx=-x-14 29E 30E 31E 32E 33E 34E 35E 36E 37E 38E 39E 40E 41E 42E 43E 44E 45-48 Domain and Range from a Graph A function f is given. a Use a graphing calculator to draw the graph of f. b Find the domain and range of f from the graph. fx=9-x2 46E 47E 48E 49E 50E 51E 52E 53E 54E 55E 56E 57E 58E 59E 60E 61E 62E 63E 64E 65E 66E 67E 68E 69E 70E Transformations Suppose the graph of f is given. Describe how the graphs of the following functions can be obtained from the graph of f. a y=fx+8 b y=fx+8 c y=1+2fx d y=fx-2-2 e y=f-x f y=-f-x g y=-fx h y=f-1x 72E 73E

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