Answer each "True" or "False" question.Also, write out a brief reason justifying each response.

A)Let f(x) = x-2x = x(x-2),for which f' (x) = 2x-2 = 2(x-1) and f'' (x) = 2.

True or False: The critical numbers for f(x) are x = 0, x = 1, and x = 2.

True or False:f(x) has no inflection points.

B)Let g(x) = 3x^1/3 -x,for which g' (x) = x^-2/3 -1 andg'' (x) = -2/3x^-5/3.

True or False: The critical numbers for g(x) are x = -1 and x = 1.

True or False: The origin (0,0) is the only inflection point for g(x).

C)Let h(x) be a differentiable function defined on the closed interval [0,3].

True or False: The absolute maximum of h(x) on the closed interval [0,3] cannot be less

than theabsolute maximum of h(x) on the closed interval [1,2].