Question

Sketch the graph of the function$G\left(x\right)=\left|x\right|-x$ by making table.

Short answer

The graph of the function $G\left(x\right)=\left|x\right|-x$is shown.

Step-by-step solution

Step 1. Construct the table for the given function.

The given function is $G\left(x\right)=\left|x\right|-x$whose tables for respective values of $\left(x\right)$and $G\left(x\right)$is shown below.

$x$	0	-1	-2
$G\left(x\right)$	0	2	4

Step 2. Plot the points on coordinate plane.

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

Step 3. DESCRIPTION OF STEPS.

From the graph it can be interpreted that the graph of the function has domain all real $x\in \left(-\infty ,0\right]$whereas range of the function is $\left[0,\infty \right)$.