Let be a differentiable function on with for every in that interval

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

Problem

Let

f

be a differentiable function on

(2,5)

with

f'(x)>0

for every

x

in that interval. Which of the following statements is correct? (a)

f(2.3) > f(4.7)

(b)

f(2.3) \ge f(4.7)

(c)

f(2.3) < f(4.7)

(d) The relation between

f(2.3)

\text{ and } f(4.7) \text{ cannot be determined}