Single Variable Calculus, Chapter 2, 2.2, Section 2.2, Problem 9

The graph of the function $f$ is given below, state the following:


$\begin{equation} \begin{aligned} \text{a.) }& \lim\limits_{x \rightarrow -7} f(x) & \text{b.) }& \lim\limits_{x \rightarrow -3} f(x) & \text{c.) }& \lim\limits_{x \rightarrow 0} f(x) \\ \text{d.) }& \lim\limits_{x \rightarrow 6^-} f(x) & \text{e.) }& \lim\limits_{x \rightarrow 6^+} f(x) & \text{f.) }& \text{The equations of the vertical asymptotes.} \end{aligned} \end{equation}$








a. According to the graph given $\lim\limits_{x \rightarrow -7} f(x) = -\infty$

b. According to the graph given $\lim\limits_{x \rightarrow -3} f(x) = \infty$

c. According to the graph given $\lim\limits_{x \rightarrow 0} f(x) = \infty$

d. According to the graph given $\lim\limits_{x \rightarrow 6^-} f(x) = -\infty$

e. According to the graph given $\lim\limits_{x \rightarrow 6^+} f(x) = \infty$

f. The equations of the vertical asymptotes are $x = -7, x = -3, x = 0, x = 6$