Ineed to be able to take a set of data, and find it's exponential function.

The process below should work.

Step-by-step explanation:

Let's pretend we have these two points we are trying to find an exponential equation for:  (-2,6) and (2,1).

Exponential equations are of the form where we must find and .

So you enter both points into that equation giving you:

I'm going to divide equation 1 by 2 because if I do the a's will cancel and I could solve or b.

By law of exponent, I can rewrite the right hand side:

Now do ^(-1/4) on both sides to solve for b:

Now we use one of the equations along with our value for b to find a:

with

Simplify using law of exponents:

Multiply both sides by 6^(1/2) to solve for a:

with is:

We can simplify a smidgen:

a

step-by-step explanation:

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: