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Analyzing Graphs of Absolute Value Functions

Analyzing Graphs of Absolute Value Functions 1.4 - Solution

arrow_back 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-x\text{-}variable and calculate their corresponding function values.

xx x4|x-4| f(x)=x4f(x)=|x-4|
-4{\color{#0000FF}{\text{-} 4}} -44|{\color{#0000FF}{\text{-} 4}}-4| 88
0{\color{#0000FF}{0}} 04|{\color{#0000FF}{0}}-4| 44
4{\color{#0000FF}{4}} 44|{\color{#0000FF}{4}}-4| 00
8{\color{#0000FF}{8}} 84|{\color{#0000FF}{8}}-4| 44
12{\color{#0000FF}{12}} 124|{\color{#0000FF}{12}}-4| 88

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