Chapter 2, Problem 51RE

To determine

To sketch: the graph of the given function.

Explanation of Solution

Given information:

Given function

  $f\left(x\right)=\left|x\right|$

Calculation:

For plotting the graph of the absolute function, $f\left(x\right)=\left|x\right|$ , substitute various values for $x$ in the equation to obtain few points on the graph.

$x$	$y=\left|x\right|$	$\left(x,y\right)$
1   $-2$   $2$   $3$   $-3$	1 2 2 3 3	$\left(1,1\right)$   $\left(-2,2\right)$   $\left(2,2\right)$   $\left(3,3\right)$   $\left(-3,3\right)$

Plot the points and draw the lines to get the graph of the function.