Suppose is continuous on with and differentiable on such that for all in

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

Problem

Suppose

f

is continuous on

[a,b]

with

b-a=2

and differentiable on

(a,b)

such that

1\le f'(x)\le 4

for all

x

(a,b)

. Which of the following lists all possible values of

f(b)-f(a)

? (a) Exactly

5

(b) Between

2

and

8

, inclusive (c) At most

2

(d) Between

1

and

4

, inclusive