Single Variable Calculus, Chapter 4, 4.4, Section 4.4, Problem 4

The graph of function $g$ is given, state the following

*Refer to the graph on the book

a.) $\lim_{x \to \infty} g(x)$

$\qquad$ Referring to the graph, $\lim_{x \to \infty} g(x) = 2$

b.) $\lim_{x \to -\infty} g(x)$

$\qquad$ Referring to the graph, $\lim_{x \to - \infty} g(x) = -2$

c.) $\lim_{x \to 3} g(x)$

$\qquad$ Referring to the graph, $\lim_{x \to 3} g(x) = \infty$

d.) $\lim_{x \to 0} g(x)$

$\qquad$ Referring to the graph, $\lim_{x \to 0} g(x) = - \infty$

e.) $\lim_{x \to -2^+} g(x)$

$\qquad$ Referring to the graph, $\lim_{x \to -2^+} g(x) = - \infty$

f.) The equations of the asymptotes

Referring to the graph, the vertical asymptotes are $x = -2, x = 0$ and $x = 3$ and the horizontal asymptotes are $y = -2$ and $y = 2$.