00:01
All right, so we have a pre -algebra question here.
00:04
And we basically have two functions, m of x and f of x.
00:07
And they're both of the same kind of structure here.
00:09
We have 100 divided by 1 plus e to the power of some negative number times x minus some other number here.
00:19
In part a, we're supposed to use the graph to determine any horizontal asymptotes for these functions.
00:26
There was no accompanying graph for these functions here in this question.
00:33
So maybe it wasn't the question you were looking at, but it wasn't scanned.
00:37
Either way, you can still just solve this algebraically.
00:41
What you need to do is take limits.
00:44
So horizontal asymptotes, there's only one way to get horizontal asymptotes, and that's by taking limit as x goes to either positive or negative infinity.
00:53
So if you take x goes to positive infinity for m of x and f of x, then we actually end up with 100 divided 1 plus 0, because the limit as x goes, as z goes to negative infinity of e to the z is equal to zero.
01:07
And so that gives us a horizontal asymptote at y equals 100...