00:08
So again, we're looking at rational functions and we're working towards graphing them, but we need to start out with the key features.
00:16
We want to see what the domain restrictions are on the rational function and what the vertical and horizontal asymptotes are.
00:23
So we're going to start out factoring the numerator and the denominator.
00:27
The numerator is difference of squares.
00:29
So it's x minus 5 times x plus 5.
00:31
The denominator factors to be x minus 5 times x plus 1.
00:38
You'll notice here that you have matching factors.
00:42
So you'll have a whole at x equals 5.
00:48
Your x equals 5 is an excluded value, so your domain is all real numbers except for the value that makes that equal to 0.
00:59
Because you can't have 0 in the denominator...