Absolute value functions

Absolute value functions

Absolute value is basically the distance between "number" and "zero" on a number line. We will look into this concept in this lesson. We will also learn how to express absolute value functions as piecewise functions.

Lessons

Definition of “Absolute Value”: | number | = distance between “ number ” and “zero”
  • 1.
    Review: Evaluating the Absolute Value of a Number
    Evaluate:
    i) 5\left| { - 5} \right|
    ii) 5\left| 5 \right|
    iii) 0\left| 0 \right|
    iv) 6 - \left| 6 \right|
    v) 6 - \left| { - 6} \right|
    vi) 3+3\left| 3 \right| + {\;}\left| { - 3} \right|
    vii) 29\left| {2 - 9} \right|
    viii) 16 - \left| { - \sqrt {16} } \right|

  • 2.
    Evaluating Expressions Involving Absolute Values

    Evaluate:

    i) 132312|13-23|-12

    ii) 48|\; |4|-|8|\;|

    iii) 327| {^3}\sqrt{-27}|


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

    Express the absolute value function as a piecewise function: g(x)=54xg\left( x \right) = \left| {5 - 4x} \right|


  • 4.
    Expressing an Absolute Value Quadratic Function as a Piecewise Fu nction

    Express the absolute value function as a piecewise function: f(x)=x24f\left( x \right) = \left| {x^2 - 4} \right|


Do better in math today
Don't just watch, practice makes perfect.