00:01
For this problem, we are asked to find the vertical asymptotes of the function f of x equals 1 over x squared minus 4, and then to describe the behavior of f of x to the left and right of each vertical asymptote.
00:11
So for finding those vertical asymptotes, the first thing that we can note here is we can factor the denominator there using difference of squares into being 1 over x plus 2 times x minus 2.
00:23
So we can see that we'll have division by 0 when x equals negative 2 and when x equals positive 2.
00:29
Other thing that we can note is that if we take, for instance, if we take x less than negative 2, we'll have that, let's see here.
00:44
If we have x less than negative, then x plus 2 will be negative, x minus 2 will be negative.
00:49
So we'll have f of x will be greater than 0.
00:53
Then in x between negative 2 and positive 2, for instance, x equals 0, we'll have, we'll have that f of x...