Determine whether the statement is true or false, and explain why. The derivative in regions separated by critical numbers must alternate between positive and negative. Is the statement true or false? A. True. Critical numbers are where f changes between increasing and decreasing. so the regions separated by critical numbers must alternate between positive and negative. B. False. Critical numbers are where f(c) does not exist. So, it is not always true that the regions separated by critical numbers must alternate between positive and negative. C. False. Critical numbers are where f(c)=0 or f(c) does not exist. So, it is not always true that the regions separated by critical numbers must alternate between positive and negative. D. False. Critical numbers are where f(c)=0. So, it is not always true that the regions separated by critical numbers must alternate between positive and negative