Answer
a) $-\infty$
b) $\infty$
c) $\infty$
d) $-\infty$
e) $\infty$
f) $x=-7, x=-3, x=0, x=6$
Work Step by Step
a) As $x$ approaches $-7$ from both sides, $f(x)$ approaches $-\infty$.
b) As $x$ approaches $-3$ from both sides, $f(x)$ approaches $\infty$.
c) b) As $x$ approaches $0$ from both sides, $f(x)$ approaches $\infty$.
d) As $x$ approaches $6$ from the left hand side, $f(x)$ approaches $-\infty$..
e) As $x$ approaches $6$ from the right hand side, $f(x)$ approaches $\infty$
f) The vertical asymptotes are the vertical lines that the graph moves towards but never touches. This is at $x=-7, x=-3, x=0, x=6$.
