00:01
For this problem we want to find the intercepts and the vertical asymptote of the function.
00:07
So to find our x intercepts we want to plug in 0 for f of x and solve.
00:15
Now if we solve this for x we can start by multiplying x minus 5 from both sides.
00:23
Those will cancel and then 0 times anything is going to be 0.
00:28
So we're left with 0 is equal to x squared minus 3x minus 4 which we can factor to find our x intercepts.
00:38
I like to factor using my box and diamond.
00:41
My x squared is going to go here and my negative 4 goes here.
00:46
I multiply those together to give me negative 4x squared and 3x.
00:51
And now we have to ask ourselves what multiplies to negative 4 and adds to 3x and we should get 4x and negative x.
01:01
So that's what's going to go here.
01:04
Here we can pull out an x.
01:06
X times x would give us x squared...