00:01
Okay, so in order to write the equation of a rational function, we need to know that all rational functions are kind of written like this.
00:07
F of x is equal to a being some constant times, some kind of factor in parentheses.
00:14
Maybe there's another one.
00:15
Maybe there's not over some factors on bottom.
00:18
Some of these might be squared.
00:20
We don't know, right? but the way that we find the factors on bottom and on top is just by looking at the characteristics of the graph that we're given.
00:27
So the first thing we're going to look at here is the vertical asymptotes.
00:30
The vertical asymptotes of this graph will tell us essentially where, or what to write in the denominator of our function, right? so the vertical asymptotes of this graph are at negative 2 and positive 4.
00:46
Okay.
00:47
So we're going to go ahead and write those in the denominator of our function.
00:49
So f of x is equal to, now if our vertical asymptote is at negative 2, that means we need to write x plus 2 as a factor.
00:58
Remember that vertical asymptotes appear when the denominator.
01:00
Is equal to zero...