CPM Homework Help : PC3 Problem 5-49

Locate all asymptotes and/or holes on the graph of the function $f\left(x\right)=\frac{2x^2-16}{x^2-x-6}$ .

Hint 1:

Start by factoring the numerator and denominator and simplifying.

Hint 2:

Vertical asymptotes and holes occur when the denominator is equal to $0$ .

Hint 3:

Horizontal asymptotes are found by considering what happens to the function as $x→\pm∞$ .

Check:

Check your answer by graphing.