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In Exercises 1–26, sketch the graph of the given function, indicating (a) x- and y-intercepts, (b) extrema, (c) points of inflection, (d) behavior near singular points of
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Applied Calculus, Loose-leaf Version
- 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_forwardExercises 101–103 will help you prepare for the material covered in the next section. Use the graph of function f to solve each exercise. 5- 4- 3- 2- 1- -5-4 1 2 3 45 y = flx) 101. For what values of x is the function undefined? 102. Write the equation of the vertical asymptote, or the vertical line that the graph of f approaches but does not touch. 103. Write the equation of the horizontal asymptote, or the horizontal line that the graph of f approaches but does not touch.arrow_forwardIn Exercises 37–40, use the vertical line test (see Exercise 35) to determine whether the curve is the graph of a function.arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage