Question

find all asymptotes, x - intercepts, and y - intercepts for the graph of the rational function and sketch the graph of the function.
f(x)=\frac{-1}{(x + 3)^2}
find all vertical asymptotes. select the correct choice below and, if necessary, fill in the answer box within your choice.
a. x=
(simplify your answer. use a comma to separate answers as needed.)
b. there are no vertical asymptotes.

Explanation:

Step1: Recall vertical - asymptote rule

Vertical asymptotes occur where the denominator of a rational function is zero and the numerator is non - zero.
Set the denominator equal to zero: $(x + 3)^2=0$.

Step2: Solve for x

Taking the square - root of both sides, we get $x+3 = 0$.
Then $x=-3$.
The numerator is $-1
eq0$ when $x = - 3$.

Answer:

A. $x=-3$