Chapter 1.1, Problem 22ES

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

(i) the domain of $f$ is $\left[-2,1\right]$

(ii) $f\left(-2\right)=f\left(0\right)=f\left(1\right)=0$

(iii) $\underset{x\to -2^{+}}{\lim }f\left(x\right)=2,\underset{x\to 0}{\lim }f\left(x\right)=0$ , and ${\lim }_{x\to 1^{-}}f\left(x\right)=1$