Question

Sketch the graph of the function$H\left(x\right)=\left|x+1\right|$ by making table.

Short answer

The graph of the function $H\left(x\right)=\left|x+1\right|$is shown.

Step-by-step solution

Step 1. Construct the table for the given function.

The given function is $H\left(x\right)=\left|x+1\right|$whose tables for respective values of $\left(x\right)$and $H\left(x\right)$is shown below.

$x$	-1	-3	1
$H\left(x\right)$	0	2	2

Step 2. Plot the points on coordinate plane.

By plotting points on coordinate plane, the graph for the function $H\left(x\right)=\left|x+1\right|$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 $\left(x\right)$whereas range of the function is $\left[0,\infty \right)$.