body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} You must have JavaScript enabled to use this site.

Expand menu

Minimize

Start chapters

Home

History

History

{{ item.displayTitle }}

No history yet!

Progress & Statistics

Progress

Student

Teacher

{{ courseTrack.displayTitle }}

{{ statistics.percent }}%

Sign in to view progress

{{ printedBook.courseTrack.name }} {{ printedBook.name }}

Analyzing Graphs of Absolute Value Functions

Miscellaneous Functions

Analyzing Graphs of Absolute Value Functions 1.4 - Solution

Return to Analyzing Graphs of Absolute Value Functions

Let's make a table of values. To do so, we will assign some values to the $x\text{-}$ variable and calculate their corresponding function values.

$x$	$\|x-4\|$	$f(x)=\|x-4\|$
${\color{#0000FF}{\text{-} 4}}$	$\|{\color{#0000FF}{\text{-} 4}}-4\|$	$8$
${\color{#0000FF}{0}}$	$\|{\color{#0000FF}{0}}-4\|$	$4$
${\color{#0000FF}{4}}$	$\|{\color{#0000FF}{4}}-4\|$	$0$
${\color{#0000FF}{8}}$	$\|{\color{#0000FF}{8}}-4\|$	$4$
${\color{#0000FF}{12}}$	$\|{\color{#0000FF}{12}}-4\|$	$8$

Let's now plot and connect the obtained points. Keep in mind that the graph of an absolute value function has a V shape!