What are absolute value functions?

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Now Playing:Absolute value functions– Example 1

Review: Evaluating the Absolute Value of a Number
Evaluate:
i) $\left| { - 5} \right|$
ii) $\left| 5 \right|$
iii) $\left| 0 \right|$
iv) $- \left| 6 \right|$
v) $- \left| { - 6} \right|$
vi) $\left| 3 \right| + {\;}\left| { - 3} \right|$
vii) $\left| {2 - 9} \right|$
viii) $- \left| { - \sqrt {16} } \right|$
Evaluating Expressions Involving Absolute Values
Evaluate:

i) $|13-23|-12$

ii) $|\; |4|-|8|\;|$

iii) $| {^3}\sqrt{-27}|$
Expressing an Absolute Value Linear Function as a Piecewise Function
Express the absolute value function as a piecewise function: $g\left( x \right) = \left| {5 - 4x} \right|$
Expressing an Absolute Value Quadratic Function as a Piecewise Function
Express the absolute value function as a piecewise function: $f\left( x \right) = \left| {x^2 - 4} \right|$