Chapter 1.1, Problem 25ES

Sketch a possible graph for a function $f$ with the specified properties. (Many different solutions are possible.)

(i) $f\left(-3\right)=f\left(0\right)=f\left(2\right)=0$

(ii) $\underset{x\to -2^{-}}{\lim }f\left(x\right)=+\infty$ and $\underset{x\to -2^{+}}{\lim }f\left(x\right)=-\infty$

(iii) $\underset{x\to 1}{\lim }f\left(x\right)=+\infty$