I need to find the formula for this function, and i'm not sure what to do...

I've looked all over the internet and can't find anything to help me out :(Code:`x f(x)`

-2 -25.22

0 3.50

2 32.22

4 60.94

6 89.66

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- Aug 24th 2009, 08:43 PMJAMESveederFinding formula for a function
I need to find the formula for this function, and i'm not sure what to do...

Code:`x f(x)`

-2 -25.22

0 3.50

2 32.22

4 60.94

6 89.66

- Aug 24th 2009, 08:48 PMChris L T521
We can model the function using a linear equation.

Note that when x increases by 2, f(x) increases by 28.72

Since $\displaystyle f(0)=3.5=b$ and the slope of the line is $\displaystyle m=\frac{28.72}{2}=14.36$, it follows that the equation of the line is $\displaystyle f(x)=mx+b=14.36x+3.50$. - Aug 24th 2009, 08:49 PMCaptainBlack
- Aug 24th 2009, 09:12 PMJAMESveeder
Great explanation, thank you!

You can't use the same method for an exponential function though, can you? - Aug 24th 2009, 09:19 PMProve It
- Aug 24th 2009, 09:33 PMJAMESveeder
So with this:

Code:`x g(x)`

.5 -1

1 0

2 1

4 1

8 3

So how would I apply that to the explanation that was said before? - Aug 24th 2009, 10:23 PMCaptainBlack
- Aug 24th 2009, 10:32 PMJAMESveeder
Ah, thanks CaptainBlack :)

This helps a lot, thanks very much guys.