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# Analyzing Graphs of Absolute Value Functions

## Analyzing Graphs of Absolute Value Functions 1.4 - Solution

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!