Answer all, please

5. The graph ofy = Elias] for some cubic function Mm] is shown to the right. The tangent line to the curvey = Film] at x = 1 is drawn. a. At which values of .13, if any1 does Mm} have a local maximum or minimum? Explain. b. On which intervals is h"(m} positive. negative. or zero? Explain. c. Sketch the graph of y = h\"(33] on the same set 0t axes. 6. Using the given graph of a polynomial f(), sketch the graphs of f () and f"(@) on the same set of axes. a. # = AX) -2 -1 1 2 3 - 1b. 3 ? = =) 2 H - 2 -1 1 5 - 1 -24 -37. Using the given graph of g(@), sketch the graph of g' (@) on the same set of axes. 9- -3 - 2 -1 1 2 -1- -39. For each of the following sets of conditions, sketch a graph of a quadratic function f(@) which satisfies them. a. . f(-2) = f(2) =0 - f'(x) 0 for x > 0 " f" (x) > 0 for all x E R b. . f" (x) = -2 for all x e R - f'(1) = 0 - f(1) = 4