Answer
The function is discontinuous at $x = -1$.
a) $f(-1)$ does not exist.
b) $\frac{1}{2}$
c) $\frac{1}{2}$
d) $\frac{1}{2}$
e) $f$ is not defined at $x=-1$
Work Step by Step
a) The function has a "hole" at $x = -1$, where it does not have a corresponding $y$-value associated with it.
b), c), d) If you approach the value of $-1$ from its left or its right, either way, you will get the value of $\frac{1}{2}$
e) The condition not met is that the function must be defined at all points.
