Applied Calculus for the Managerial, Life, and Social Sciences (MindTap Course List)
10th Edition
ISBN: 9781305657861
Author: Soo T. Tan
Publisher: Cengage Learning
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Chapter A, Problem 17E
To determine
To find: The inverse of the of f and sketch the graph of
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In Exercises 47–58, say whether the function is even, odd, or neither. Give reasons for your answer.
47. ƒ(x) = 3 48. ƒ(x) = x^-5
49. ƒ(x) = x2 + 1 50. ƒ(x) = x2 + x
51. g(x)=x3+x 52. g(x) = x4 + 3x2 - 1
53. g(x) = 1/( x2 - 1) 54. g(x)=x/(x2-1 )
55.h(t)=1/(t-1) 56. h(t)=|t3|
57. h(t) = 2t + 1 58. f(t)=2|t|+1
59. sin 2x 60. sin x2
61. cos 3x 62. 1 + cos x
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Applied Calculus for the Managerial, Life, and Social Sciences (MindTap Course List)
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- Let f(x) = (x − 2) / (x − 1) . Show that f is its own inverse function. What can you conclude about the graph of f ? Explain.arrow_forwardWhat are even and odd functions of symmetry? For example f(-x)=-f(x), f(-x)=f(x), Symmetric about y-axis, symmetric about origin?arrow_forwardIn Exercises 5–8, determine whether the graph of the function is symmetric about the y-axis, the origin, or neither.5. y = x^1/5 6. y = x^2/57. y = x2 - 2x - 1 8. y = e^-x2arrow_forward
- Can the function g be obtained from f by transformations? If so, describe the transformations needed?arrow_forwardSuppose (π/2,1) is a point on a function f(x). What point must be on the graph of f(x/π)? Explain.arrow_forwardGive an example to explore numerically how a function behaves near a particular point at which we cannot directly evaluate the function?arrow_forward
- In 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_forwardI is need help finding the inverse linear functionarrow_forwardDetermine whether the function g(x)=−x+2 is increasing or decreasing. Justify your conclusion using complete sentences.arrow_forward
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