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: $f\left( x \right) = \left| {x^2 - 4} \right|$

---