Question

how to graph absolute value functions
graphing absolute value functions
$f(x)=\

$$\begin{cases}-x & \\text{when } x\\leq0 \\\\ x & \\text{when } x>0\\end{cases}$$

$

1. the absolute value function in the graph above is written as a piecewise function with a dividing point at $x = 0$. this is because $|0| = $___?

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Explanation:

The absolute value of 0 is the non-negative distance from 0 to 0 on the number line, which equals 0. This is the key value that defines the split point of the piecewise absolute value function.

Answer:

0