Finding and Analyzing Inverse Function In Exercises 45–54, (a) find the inverse function of f, (b) graph both f and
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Precalculus (MindTap Course List)
- Inventing Graphs and FunctionsIn Exercises 75–78, sketch the graph of a function y = ƒ(x) that satisfies the given conditions. No formulas are required—just label the coordinate axes and sketch an appropriate graph. (The answers are not unique, so your graphs may not be exactly like those in the answer section.)arrow_forwardEvaluating a Function In Exercises 31–34, completethe table.arrow_forwardIn Exercises 59–62, sketch the graph of the given function. What is the period of the function?arrow_forward
- In Exercises 47–58, say whether the function is even, odd, or neither.Give reasons for your answer.arrow_forwardWhich of the functions graphed in Exercises 1–6 are one-to-one, and which are not?arrow_forwardTesting for Functions In Exercises 5–8,determine whether the relation represents yas a function of x.arrow_forward
- Graphing: In Exercises 69–76, graph each function, not by plotting points, but by starting with the graph of one of the standard functions presented in Figures 1.14–1.17 and applying an appropriate transformation.arrow_forwardIn Exercises 73–78, the graph of f is shownin the figure. Sketch a graph of the derivative of f. To print anenlarged copy of the graph, go to MathGraphs.com.image5arrow_forwardIn Exercises 79–82, find a function that satisfies the given conditions and sketch its graph. (The answers here are not unique. Any function that satisfies the conditions is acceptable. Feel free to use formulas defined in pieces if that will help.)arrow_forward
- In Exercises 63–65, find the domain and range of each composite function. Then graph the composition of the two functions on separate screens. Do the graphs make sense in each case? Give reasons for your answers. Comment on any differences you see. 63. a. y = tan-1 (tan x) b. y = tan (tan-1 x) 64. a. y = sin-1 (sin x) b. y = sin (sin-1 x) 65. a. y = cos-1 (cos x) b. y = cos (cos-1 x)arrow_forwardThe resale value V, in dollars, of a certain car is a function of the number of years t since the year 2012. In the year 2012 the resale value is $19,000, and each year thereafter the resale value decreases by $1300. (a) What is the resale value in the year 2013? (c) Make the graph of V versus t covering the first 4 years since the year 2012. (d) Use functional notation to express the resale value in the year 2015. V( ) Calculate that value.arrow_forwardIn Exercises 5–12, find and sketch the domain for each functionarrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage