Here is a simple linear function with one exclusion point.
$$f(x)=2x, x\neq 2$$
We can rewrite this as:
$$\displaystyle f(x)=\begin{cases}2x, & x \in \Bbb{R} \\ undefined, & x=2\end{cases}$$
As with the previous examples, this function is undefined at $x=2$. So for this reason the function...