Chapter 1.1, Problem 10ES

In these exercises, make reasonable assumptions about the graph of the indicated function outside of the region depicted.

For the function $f$ graphed in the accompanying figure, find

(a) $\underset{x\to -2^{-}}{\lim }f\left(x\right)$

(b) $\underset{x\to -2^{+}}{\lim }f\left(x\right)$

(c) $\underset{x\to 0^{-}}{\lim }f\left(x\right)$

(d) $\underset{x\to 0^{+}}{\lim }f\left(x\right)$

(e) $\underset{x\to 2^{-}}{\lim }f\left(x\right)$

(f) $\underset{x\to 2^{+}}{\lim }f\left(x\right)$

(g) the vertical asymptotes of the graph of $f$ .