Q. 29 - Precalculus Enhanced with Graphing Utilities

Question

Sketch the graph of each function. Be sure to label three points on the graph. 

$f\left(x\right)=\left|x\right|$

Step-by-Step Solution

Answer

The graph is given as

Step 1. Make a table of values

Consider the function $f\left(x\right)=\left|x\right|$.

A table of values for the function is given as

$x$	$\begin{array}{rcl}y& =& f\left(x\right)\\ & =& \left|x\right|\end{array}$	$(x,y)$
$-1$	$\left|-1\right|=1$	$(-1,1)$
$0$	$\left|0\right|=0$	$(0,0)$
$1$	$\left|1\right|=1$	$(1,1)$

Step 2. Graph the function

Plot the points and connect them to get the graph of the function.