Question

can you graph |1-x|/1-x?

Answer 1

Yes, depending on what the answer needs, simply plug in a few values of x and plot the values. For example at x=0 we have |1-0|/1-0 or 1/1, so you would plot the point (0,1)

Answer 2

this is either -1 or 1 depending on whether x>1 or x< 1

Answer 3

\[|1-x| = \left\{\begin{array}{rcc}
1-x & \text{if} & x <1 \\
x-1& \text{if} & x >1
\end{array}
\right.
\]
therefore
\[\frac{|1-x|}{1-x} = \left\{\begin{array}{rcc}
1& \text{if} & x <1 \\
-1& \text{if} & x >1
\end{array}
\right.
\]