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# Graphing Absolute Value Functions

## Graphing Absolute Value Functions 1.11 - Solution

In order to graph the given absolute value function, we can make a table of values.

$x$ $f(x)=\text{-}\dfrac{3}{5}|x|$ Simplified Absolute Value $f(x)$
${\color{#0000FF}{\text{-}5}}$ $f({\color{#0000FF}{\text{-}5}})=\text{-}\dfrac{3}{5}|{\color{#0000FF}{\text{-}5}}|$ $f({\color{#0000FF}{\text{-}5}})=\text{-}\dfrac{3}{5}(5)$ $\text{-}3$
${\color{#0000FF}{\text{-}3}}$ $f({\color{#0000FF}{\text{-}3}})=\text{-}\dfrac{3}{5}|{\color{#0000FF}{\text{-}3}}|$ $f({\color{#0000FF}{\text{-}3}})=\text{-}\dfrac{3}{5}(3)$ $\text{-} 1.8$
${\color{#0000FF}{0}}$ $f({\color{#0000FF}{0}})=\text{-}\dfrac{3}{5}|{\color{#0000FF}{0}}|$ $f({\color{#0000FF}{0}})=\text{-}\dfrac{3}{5}(0)$ $0$
${\color{#0000FF}{3}}$ $f({\color{#0000FF}{3}})=\text{-}\dfrac{3}{5}|{\color{#0000FF}{3}}|$ $f({\color{#0000FF}{3}})=\text{-}\dfrac{3}{5}(3)$ $\text{-} 1.8$
${\color{#0000FF}{5}}$ $f({\color{#0000FF}{5}})=\text{-}\dfrac{3}{5}|{\color{#0000FF}{5}}|$ $f({\color{#0000FF}{5}})=\text{-}\dfrac{3}{5}(5)$ $\text{-}3$

Now we can graph $f(x)$ by plotting the points and connecting them with straight lines on either side of the vertex.