Let $y = f(x)$ be the piecewise defined function given below.
$$f(x) = \left\lbrace \begin{array}{lcl} -x-1, && \mbox{ if } x \leq -1, \\ 0, && \mbox{ if } -1 < x < 1, \\ x-1, && \mbox{ if } x \geq 1. \end{array} \right.$$

a. $f(-2) =$ help (numbers)

b. $f(1) =$ help (numbers)

c. For what values of $x$ is $f(x) = 0$?

help (inequalities)

d. Find the domain and range of $f$. (You may find it helpful to graph this function on your own paper to find the domain and range.) Your answers must be inequalities (not intervals).

Domain: help (inequalities)
Range:   help (inequalities)