The general formula for an exponential equation is ab^x
Plug in (2,5) and (4,180) and solve for "a" and "b".
For (2,5) we get:
ab^2 = 5
And for (4,180) we get:
ab^4 = 180
Well, ab^4 can be rewritten as (ab^2)*b^2.
We know that ab^2 = 5, so we can substitute it into the expression above:
5*b^2 = 180
b^2 = 36
b = 6
We figured out what "b" is. Now to figure out "a", let's use (2,5) again in our general equation again:
ab^2 = 5
But since we know what "b" is now, plug it in to solve for "a":
a(6)^2 = 5
36a = 5
a = 5/36
Thus our exponential equation is:
(5/36)*6^x
To figure out the other points, use the above equation and substitute the x-values.
For example, for x = -1, we have:
(5/36)*6^-1 = (5/36)/6 = 5/216
