I NEED HELP WITH THESE PROBLEMS

MAT 271 Lab 3 1. The graph of the derivative of f is shown below. Assume that the domain of f is all real numbers and that it is a continuous function. a. Over what interval(s) is the function f increasing? Write your answer in interval notation. b. Over what interval(s) is the function f decreasing? Write your answer in interval notation. c. At what value(s) of x do local maxima occur (if any)? d. At what value(s) of x do local minima occur (if any)? e. Over what intervals is the function f concave up? f. Over what intervals is the function f concave down? E. At what value(s) of x do points of inflection occur?2. A function is continuous on the closed interval [-3, 3] such that f(-3) = 4 and f (3) = 1. The functions f'(x) and f"(x) have the properties given in the table below. X f'(x) f" (x) -3