Finding Limits: Numerical and Graphical Approaches · Exercise 21

Draw the graph of a function from the functional values and limits provided.

$\underset{x\to \pi }{\lim }f\left(x\right)={\pi }^2$, $\underset{x\to –\pi }{\lim }f\left(x\right)=\frac{\pi }{2}$, $\underset{x\to 1^{–}}{\lim }f\left(x\right)=0$, $f\left(\pi \right)=\sqrt{2}$, $f\left(0\right)\text{does}\text{not}\text{exist}.$

This is an open-ended exercise: its source gives no single answer.

OpenStax, Precalculus 2e · §12.1 Finding Limits: Numerical and Graphical Approaches · Exercise 21