Absolute value functions

Lessons

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) $- \left| { - \sqrt {16} } \right|$
2. Evaluating Expressions Involving Absolute Values

   Evaluate:

   i) $|13-23|-12$

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

   iii) $| {^3}\sqrt{-27}|$

3. Expressing an Absolute Value Linear Function as a Piecewise Function

   Express the absolute value function as a piecewise function: $g\left( x \right) = \left| {5 - 4x} \right|$

4. Expressing an Absolute Value Quadratic Function as a Piecewise Function

   Express the absolute value function as a piecewise function: $f\left( x \right) = \left| {x^2 - 4} \right|$