Sketch the graph of the following function and use it to determine the following limits. If a limit does not exist, type DNE.

1. $\displaystyle \lim_{x \to 0^{-}}f(x) =$

2. $\displaystyle \lim_{x \to 0^{+}}f(x) =$

3. $\displaystyle \lim_{x \to 0}f(x) =$

4. $\displaystyle \lim_{x \to \pi}f(x) =$

5. $\displaystyle f(\pi) =$

Your overall score for this problem is