Let . On the interval , the function is negative and increasing (its values are below…

MATHEMATICS · Single correct · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Let

g(x)=\displaystyle \int_{0}^{x} f(t)\,dt

. On the interval

2<x<5

, the function

f

is negative and increasing (its values are below the

t

–axis but moving toward zero). Which statement best describes the behavior of

g

on the interval

2<x<5

? (a)

g

is decreasing and concave down on the interval. (b)

g

is increasing and concave up on the interval. (c)

g

is decreasing and concave up on the interval. (d)

g

is increasing and concave down on the interval.