Mean Value Theorem: Solving for f(8) -f(2)

[susan__t]

Homework Statement

Suppose that 3 is < and equal than f'(x) which is also < and equal to 5 for all vales of x. Show that 18< or equal to f(8) -f(2) < or equal to 30.

Homework Equations

Mean Value theorem

The Attempt at a Solution

I have no clue where to start or which values associate with the values of those of MVT

 

[gabbagabbahey]

This one looks pretty straightforward: What does the mean value theorem say about $$\frac{f(8)-f(2)}{8-2}$$?

 

[Mark44]

Start with the MVT, couched in terms of your problem. It says that for some c, with c in [?, ?], f'(c) = ?. Then, what other information are you given?