Chapter 2.1, Problem 63E

2. Consider the function f whose graph is below. -3 (a) What is the domain of f? (b) Explain why f is not one-to-one? (c) Let g be the function obtained by restricting f to the domain [0,5). Then g is one-to-one. Find g¹(1). (d) Sketch the graph of g-¹.

Looking at the graph of f(x), determine the following below. Show your work. Assume ends of the graph continue. 10- |(0, 8) (0.189, 8.096) -5 G (-2, 0) (1.702, 0) 10 (-3.,523, –4.689) a. Location(s) where f "(x) < 0 b. Location(s) where f'(x) has a minimum c. Sign (positive/negative/zero) of f"(x) at Point G d. Sign (positive/negative/zero) of f '(x) at Point F

sketch the graph of the function.