00:01
Find a formula for an exponential function such that f of 2 equals 6 and f of 3 equals 1.
00:07
So what we're going to do is plug in values for x and in f of x and get our, see if we can figure out what a and b is.
00:18
So for this first one, i'm going to say x equals 2 and f of x equals 6.
00:23
So 6 is going to be a b squared.
00:28
And this one we're going to say x equals 3 and f of x equals to 1.
00:35
So 1 equals a b cubed.
00:42
So how we need to now figure out what a and b is.
00:46
The easiest thing to do is isolate a in one of these.
00:50
I'm going to isolate a here.
00:52
So i'm going to divide by b squared.
00:55
So i know that a is going to be 6 over b squared.
01:00
I can now take this expression and put it in place of a...