Problem 2. For a certain function f(x), the graph of its DERIVATTVE f'(x) is plotted below in red, and the graph of its SECOND DERIVATIVE f''(x) is plotied in blue.(a)(4 points) Buod on the graph, find the x-values of all critical Pints foe f(x), and determine whether each is a local muximum, local minimum, of neitber.(b)(4 points) Based ce the graph, how many inflection points does f(s) have? Explain. (You do sot need to approximate their x-values.)(c)(4 points) Find the s-valos where f(x) achieves its maximus and wintmum valuer on the interval {-1,1}. Be sure to justify your conclusions.