Mathematics

Mathematics

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

in

(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

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