Question

Identify any vertical, horizontal, or oblique asymptotes in the graph of y=f(x). State the domain of f.Identify any vertical asymptotes. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.OA. There is only one vertical asymptote. Its equation is (Type an equation.)OB. There are two vertical asymptotes. The equation of the leftmost one is and the equation of the rightmost one is (Type an equation.)OC. There are no vertical asymptotes.

Answer 1

• B. There are two vertical asymptotes. The equation of the leftmost one is ,x=-6 ,and the equation of the rightmost one is ,x=6.

,

• Domain: ,(-∞, -6) U (-6, 6) U (6, ∞)

Explanation:

Part A

From the graph of f(x), there are two vertical asymptotes. The equation of the leftmost one is:

`x=-6`

and the equation of the rightmost one is:

`x=6`

Part B

Since there are vertical asymptotes at x=-6 and x=6, the domain of f is:

`(-\infty,-6)\cup(-6,6)\cup(6,\infty)`