00:01
So we have a table here of inputs and outputs for some function f of x.
00:06
So when x is equal to 1, f of x is 10, when x is 2, f of x is 20, and so on.
00:12
And we want to know if this represents an exponential function.
00:15
And if it does, we want to find the equation for that function, which will look something like this, f of x is equal to a times b to the x.
00:22
So the first thing that we'll want to do to see if this is an exponential function is see if we are multiplying all of our, outputs here by the same number each time to get the next output along the table.
00:38
So if, for example, if we were multiplying 10 by 2 to get 20, we would also need to multiply by 2 to get 40 and by 2 to get 80.
00:47
And for this problem, it's relatively easy to see that that is true.
00:51
But just to go ahead and check ourselves, what you can do is just make sure.
00:55
So you could take 20 over 10, and that is equal to 2.
01:01
And you could do that for every value increasing on the table that we have available here...