Question

Sketch the graph of the function$f\left(x\right)=\frac{\left|x\right|}{x}$ by making table.

Short answer

The graph of the function $f\left(x\right)=\frac{\left|x\right|}{x}$is shown.

Step-by-step solution

Step 1. Construct the table for the given function.

The given function is $f\left(x\right)=\frac{\left|x\right|}{x}$whose tables for respective values of $\left(x\right)$and $f\left(x\right)$is shown below.

$x$	-1	1	2
$f\left(x\right)$	-1	1	1

Step 2. Plot the points on coordinate plane.

By plotting points on coordinate plane, the graph for the function $f\left(x\right)=\frac{\left|x\right|}{x}$is shown below.

Step 3. DESCRIPTION OF STEPS.

From the graph it can be interpreted that the graph of the function is a piece-wise graph.