If and for every in the open interval

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

Problem

f'(x) > 0

and

f''(x) < 0

for every

x

in the open interval

(1,4)

, which of the following best describes the graph of

f

on that interval? (a) It is increasing and concave up on

(1,4)

. (b) It is decreasing and concave down on

(1,4)

. (c) It is increasing and concave down on

(1,4)

. (d) It is decreasing and concave up on

(1,4)