試題詳解

2. Suppose that f'(x) ＞ 0 for all x ∈ R and that f(2) = 0. Let g(x) = f(t) dt. Which of the following must be true?
(A) The graph of g is increasing on (0,2).
(B) g is a nonnegative continuous function.
(C) The graph of g has a horizontal tangent at x = 2.
(D) The graph of g does not have any inflection point.