Suppose that 2 ≤ f '(x) ≤ 5 for all values of x. What are the minimum and maximum possible values of
f(6) − f(3)?

ATTEMPT:
Unfortunately for this one, I am not sure how I am going to proceed with it. If anyone cares to help or give a hint, that would be great. Suppose that 2 ≤ f '(x) ≤ 5 for all values of x. What are the minimum and maximum possible values of
f(6) − f(3)?

ATTEMPT:
Unfortunately for this one, I am not sure how I am going to proceed with it. If anyone cares to help or give a hint, that would be great. @Mathematics

Question

Suppose that 2 ≤ f '(x) ≤ 5 for all values of x. What are the minimum and maximum possible values of
f(6) − f(3)?

ATTEMPT:
Unfortunately for this one, I am not sure how I am going to proceed with it. If anyone cares to help or give a hint, that would be great.  Suppose that 2 ≤ f '(x) ≤ 5 for all values of x. What are the minimum and maximum possible values of
f(6) − f(3)?

ATTEMPT:
Unfortunately for this one, I am not sure how I am going to proceed with it. If anyone cares to help or give a hint, that would be great.  @Mathematics

anonymous · Answer

The answer comes in blanks like this:
[   ] ≤ f(6) − f(3) ≤ [   ]

anonymous · Answer

[ 2] ≤ f(6) − f(3) ≤ [5 ] ans