The graph the rational function is attached and the asymptote is x = -2
How to sketch the graph the rational function
From the question, we have the following parameters that can be used in our computation:
f(x) = (x - 2)/(x² - 4)
This can be expressed as
f(x) = (x - 2)/(x - 2)(x + 2)
So, we have
f(x) = 1/(x + 2)
For the asymptote, we set the denominator to 0
So, we have
x + 2 = 0
Evaluate
x = -2
The graph is attached