Single Variable Calculus, Chapter 2, 2.2, Section 2.2, Problem 8

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


$\begin{equation} \begin{aligned} \text{a.) }& \lim\limits_{x \rightarrow 2} R(x) & \text{b.) }& \lim\limits_{x \rightarrow 5} R(x) \\ \text{c.) }& \lim\limits_{x \rightarrow -3^-} R(x) & \text{d.) }& \lim\limits_{x \rightarrow -3^+} R(x) \\ \text{e.) }& \text{The equation of the vertical asymptotes.} \end{aligned} \end{equation}$





a. Referring to the graph given $\lim\limits_{x \rightarrow 2} R(x) = -\infty$

b. Referring to the graph given $\lim\limits_{x \rightarrow 5} R(x) = \infty$

c. Referring to the graph given $\lim\limits_{x \rightarrow -3^-} R(x) = -\infty$

d. Referring to the graph given $\lim\limits_{x \rightarrow -3^+} R(x) = \infty$

e. The equations of the vertical asymptotes are $x = -3, x = 2, x = 5$