Question

The graph of a function g is shown. (a) Which of the following verifies that g satisfies the hypotheses of the Mean Value Theorem on the interval [0, 8]? (Select all that apply.) a) g obtains at least one minimum on the open interval (0, 8). b) g takes only positive values on the closed interval [0, 8]. c) g is differentiable on the open interval (0, 8). d) g obtains at least one maximum on the closed interval [0, 8]. e) g is continuous on the closed interval [0, 8]. f) g is continuous on the open interval (0, 8). (b) Estimate the value(s) of c that satisfy the conclusion of the Mean Value Theorem on the interval [0, 8]. (Enter your answers as a comma-separated list. Round your answers to one decimal places. If an answer does not exist, enter DNE.) (c) Estimate the value(s) of c that satisfy the conclusion of the Mean Value Theorem on the interval [2, 6]. (Enter your answers as a comma-separated list. Round your answers to one decimal places. If an answer does not exist, enter DNE.)  Fig: 1  Fig: 2  Fig: 3  Fig: 4  Fig: 5  Fig: 6