The function is continuous on and differentiable on and

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

The function

f

is continuous on

0\le x\le 8

and differentiable on

(0,4)

and

(4,8)

. It is strictly increasing on

(0,4)

and strictly decreasing on

(4,8)

. Let

F(x)=\displaystyle \int_{2}^{x} f(t)\,dt

. On which interval must

F

be concave down? (a)

(0,4)

(b)

(4,8)

(c)

(2,6)

(d)

(2,4)