Let , where is continuous. Which of the following statements must be true for all in…
MATHEMATICS · Single correct · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change
Problem
Let F(x)=∫3xf(t)dt, where f is continuous. Which of the following statements must be true for all x in the domain of f?
(a) If f(x)<0, then F is increasing at x.
(b) F is increasing for all x because f is continuous.
(c) If f(x)>0, then F is increasing at x.
(d) If f(x)=0, then F is increasing at x.