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# Analyzing Graphs of Absolute Value Functions

## Analyzing Graphs of Absolute Value Functions 1.3 - Solution

To graph $y=|5x|$ using a table of values, we will assign some random values for $x$ and calculate the corresponding values for $y.$ Recall that the absolute value removes the negative sign.

$x$ $|5x|$ $y=|5x|$
${\color{#0000FF}{\text{-} 4}}$ $|5({\color{#0000FF}{\text{-}4}})|$ $20$
${\color{#0000FF}{\text{-} 2}}$ $|5({\color{#0000FF}{\text{-}2}})|$ $10$
${\color{#0000FF}{0}}$ $|5({\color{#0000FF}{0}})|$ $0$
${\color{#0000FF}{2}}$ $|5({\color{#0000FF}{2}})|$ $10$
${\color{#0000FF}{4}}$ $|5({\color{#0000FF}{4}})|$ $20$

Now we can plot and connect the obtained points on a coordinate plane. Keep in mind that the graph of an absolute value function has a V shape!