You know the following about the function f.

f(7) = 3
7 \leq x \leq 9
0.8 \leq f´(x) \leq 1.2

The answer is 5.4
Can someone please explain how to solve this kind of problem. @Mathematics

Question

You know the following about the function f.

f(7) = 3
7 \leq  x \leq  9
0.8 \leq f´(x) \leq 1.2

The answer is 5.4
Can someone please explain how to solve this kind of problem.  @Mathematics

anonymous · Answer

What's the question?

anonymous · Answer

Sorry.
Find the biggest value possible for f(9)

anonymous · Answer

You know the mean value theorem?

anonymous · Answer

Let me first make sure I understood your question well. We know that f(7)=3. We also know that $0.8 \le f'(x) \le 1.2$ for $7\le x \le9$. We're asked to find the biggest possible value for f(9).

anonymous · Answer

http://www.wolframalpha.com/input/?i=1.2+%3D%3D+%28x+-+3%29%2F%289-7%29 This seems right. Thank you AnwarA

anonymous · Answer

Lol, you're welcome.