For each of the following prompts, select the most correct response from the adjacent dropdown. If no responses are correct, select "None of the other responses." as your response. True or False: [ Select ] If a function has a local maximum, then it must have only one local maximum. [ Select ] Every function has at least one local maximum. [ Select ] If f'(0) = 0, then the function f(x) must have either a local maximum or a local minimum at x = 0. [ Select ] If a continuous function switches from increasing to decreasing at x = 0, then it must have a local maximum at x = 0. [ Select ] A function f(x) with a local minimum at 0 must have f'(0) = 0