Let be continuous on and differentiable on with for all in

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

Problem

Let

f

be continuous on

[k,k+3]

and differentiable on

(k,k+3)

with

-2\le f'(x)\le 5

for all

x

(k,k+3)

. If

f(k)=4

, which of the following could be the value of

f(k+3)

? (a)

20

(b)

0

(c)

-3

(d)

-4