Suppose that f is a function with f (25) = 61 and f (25) = 3. If you
have no further information, what is your best estimate of f(26.5)?

Question

anonymous · Answer

You could do a linear estimation.

anonymous · Answer

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anonymous · Answer

I think there is a typo in the question. Is it f(26) = 3

hero · Answer

You only have two points. You have no choice but to consider linear estimation.

anonymous · Answer

Do you know what a linear estimation is?

anonymous · Answer

No, its f (25) = 3.
and thanks to everyone helping!

anonymous · Answer

f(25) = 3 and f(25) = 61???

anonymous · Answer

sorry, its f^1

anonymous · Answer

remember that you can graph a line with two points. like the picture I drawn

anonymous · Answer

Mmm wait a minute.

anonymous · Answer

This is odd. The question is wrong and the answer is giiven and gets a medal too! :-)

anonymous · Answer

that looks like a vertical line,

anonymous · Answer

like x = 25

anonymous · Answer

okay i'll try reposting the question too, if anyone else is confused. I copied it from the file im working on and pasted it so it took away the powers

anonymous · Answer

Suppose that f is a function with f (25) = 61 and f^1 (25)= 3. If you
have no further information, what is your best estimate of f(26.5)?

anonymous · Answer

would i still approach it the same way Victorarana?

anonymous · Answer

mmm with the f^1 you mean derivative i suppose?

anonymous · Answer

yes!

anonymous · Answer

Ok you can integrate then.

anonymous · Answer

sorry im new to calculus and new to this website, im not entirely sure what you mean :P

anonymous · Answer

Don't worry, let me think