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, ∞) The graph is symmetrical is the y-axis and has a cusp (sharp point) at the origin K McMullen 2012
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
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
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