Successfully reported this slideshow.
We use your LinkedIn profile and activity data to personalize ads and to show you more relevant ads. You can change your ad preferences anytime.
Maths MethodsModulus (Absolute Value) Functions             K McMullen 2012
Modulus FunctionsThe function f(x)=|x| is called the modulus orabsolute value function   The domain is R   The Range is [0...
Modulus FunctionsTransformations of the modulus function:   y=a|f(x)|+c   a is the dilation factor   c is the vertical tra...
Modulus FunctionsA modulus function can be thought of as twoseparate expressions, depending on whether it isnegative or po...
Upcoming SlideShare
Loading in …5
×

Methods6 modulus function

884 views

Published on

Published in: Education, Technology
  • Be the first to comment

  • Be the first to like this

Methods6 modulus function

  1. 1. Maths MethodsModulus (Absolute Value) Functions K McMullen 2012
  2. 2. Modulus FunctionsThe function f(x)=|x| is called the modulus orabsolute value function The domain is R The Range is [0, ∞) The graph is symmetrical is the y-axis and has a cusp (sharp point) at the origin K McMullen 2012
  3. 3. Modulus FunctionsTransformations of the modulus function: y=a|f(x)|+c a is the dilation factor c is the vertical translation To draw the modulus function Draw f(x) Reflect f(x) along the x-axis to get |f(x)| Then do your transformations K McMullen 2012
  4. 4. Modulus FunctionsA modulus function can be thought of as twoseparate expressions, depending on whether it isnegative or positive To show the two parts of a modus function you need to set up a hybrid function One for: f(x)<0 One for: f(x)>0 To determine the particular values of x, you need to solve the two inequalities The hybrid function basically shows the domain of the modulus function K McMullen 2012

×