Answer
a) $\infty$
b) $-\infty$
c) $\infty$
d) $-\infty$
e) $x=-3, x=-1, x=2$
Work Step by Step
a) As $x$ approaches $-3$ from both sides, $A(x)$ moves towards infinity.
b) As $x$ approaches $2$ from the left hand side, $A(x)$ moves towards negative infinity.
c) As $x$ approaches $2$ from the right hand side, $A(x)$ moves towards infinity.
d) As $x$ approaches $-1$ from both sides, $A(x)$ moves towards negative infinity.
e) The vertical asymptotes are the vertical lines that the graph moves towards but never touches. This is at $x=-3, x=-1, x=2$.
