f(0)=1, and 0 <= f'(x) <= 2 over interval [0,3]. Find f(3).

[WVteacher]

They gave me several things to play a part in finding the answer.
f(0)=1 and (0 is less than or equal to f'(x) is less than or equal to 2) on the interval [0,3]. Find f(3).

Please explain your answer. Thanks!

 

[Deleted member 4993]

They gave me several things to play a part in finding the answer.
f(0)=1 and (0 is less than or equal to f'(x) is less than or equal to 2) on the interval [0,3]. Find f(3).

Please explain your answer. Thanks!

You have put up bunch of questions (~5) - without showing single line of work!

What are your thoughts?

Please share your work with us ...even if you know it is wrong

If you are stuck at the beginning tell us and we'll start with the definitions.

You need to read the rules of this forum. Please read the post titled "Read before Posting" at the following URL:

http://www.freemathhelp.com/forum/th...Before-Posting

 

[WVteacher]

My thoughts

I am stuck at the beginning with this one. I am not sure how you can find f(3) when you don't know the derivative equation. I thought maybe the derivative equation was something like x^2+1 to give you f'(0)=1 but there are other possibilities too. So I'm not quite sure how to use this information given.

 

[stapel]

They gave me several things to play a part in finding the answer.
f(0)=1 and (0 is less than or equal to f'(x) is less than or equal to 2) on the interval [0,3]. Find f(3).

Please reply with all of the "several things" they gave you; namely, the full and exact text of the exercise, the complete instructions, and detailed descriptions (or scans) of any other necessary information (such as graphs, tables, etc). Thank you!