Given that for every in the interval and

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

Given that

f'(x)>0

for every

x

in the interval

(0,4)

and

f(2)=3

, can

f(3)

be equal to

3

? Give a brief reason for your answer.