Write an exponential function in the form y = ab that goes through points (0,18)

and (2,288).

And using the second point we have this:

If we divide both sides by 18 we got:

And taking the square roof of 16 we got:

But on this case the negative solution not makes sense since the function is increasing so then the correct exponential function that pass through the points (0,18) and (2,288) is:

Step-by-step explanation:

We want to construct an exponential function given by this general form:

And we know that the function needs to pass for two points (0,18) and (2,288). Using the first point we have this:

And using the second point we have this:

If we divide both sides by 18 we got:

And taking the square roof of 16 we got:

But on this case the negative solution not makes sense since the function is increasing so then the correct exponential function that pass through the points (0,18) and (2,288) is:

step-by-step :