Answer Happy

No calculator is allowed for the following problem. M Graph off Let f be a twice-differentiable function defined on the interval [-2.25, 2.25] with f(0) = 5. The graph of f". the derivative of f, is shown above. The areas of the regions bounded by the x-axis and the graph of f' on the intervals [-2, -1]. [-1, 0], [0, 1], and [1, 2] are each 6.75. a) Find all critical points of f and classify each as a relative minimum, relative maximum, or neither. Justify your answer. b) Identify the number of inflection points. Justify your answer. c) Write an expression for f(x) that involves an integral. Find all x-coordinates, besides x = 0, for which f(x) = 5. Justify your answer.