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)?

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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)?

Mathematics
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You could do a linear estimation.
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I think there is a typo in the question. Is it f(26) = 3

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You only have two points. You have no choice but to consider linear estimation.
Do you know what a linear estimation is?
No, its f (25) = 3. and thanks to everyone helping!
f(25) = 3 and f(25) = 61???
sorry, its f^1
remember that you can graph a line with two points. like the picture I drawn
Mmm wait a minute.
This is odd. The question is wrong and the answer is giiven and gets a medal too! :-)
that looks like a vertical line,
like x = 25
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
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)?
would i still approach it the same way Victorarana?
mmm with the f^1 you mean derivative i suppose?
yes!
Ok you can integrate then.
sorry im new to calculus and new to this website, im not entirely sure what you mean :P
Don't worry, let me think
I got it. let me make a draw
okay thanks a lot! i appreciate it!
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that is the information we have. a point (25,f(25))
and the slope of a tangent line at that point
like we told you before, you can aproximate the value of the function with a straight line
but only at the point near x = 25
Is it clear?
Yeah that makes sense! Thank you VERY much :)
then you can do the rest by yourself =)
yep, thanks again!
You're welcome

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