00:01
So we've been given a set of points here.
00:04
And in this set of points, we have the x values and the values of the function, h of x, as the output here.
00:12
And we want to know if h of x is an exponential function or not.
00:16
And if it is, we want to find the equation for that function, which if it is exponential, it'll look something like this.
00:22
H of x is equal to a times b to the x.
00:27
So what we want to do is we want to figure out if this is an exponential function.
00:30
And one way we can do that is by seeing if there is a common number that all of our outputs here are multiplied by to come to the next value in our table.
00:45
And the reason this works is because we do have a base value here in an exponential function that we are raising to the x power, which means that every single time you multiply your beginning value a by the same number, over and over again.
01:02
So we can go ahead and start trying to solve this by taking 49 and dividing it by 70 and seeing what we come up with.
01:11
And 49 divided by 70 is just equal to 7 over 10.
01:17
And what we want to know now is if all of our, if we do this for every value, if we take 34 .3 and put it over 49, and we take 24 .01 and put it over 34 .3 if you get 7 over 10 every time...