Piecewise and Absolute Value Functions
Piecewise-Defined Functions
The Absolute Value Function
Video
Notes
This video from Khan Academy shows how to evaluate piecewise-defined functions, both from the definition and by examining their graphs.
Note: All Khan Academy content is available for free at www.khanacademy.org.
This video from patrickJMT shows how to plot the graph of a piecewise-defined function given its definition.
Note: All patrickJMT content is available for free at www.youtube.com/user/patrickJMT.
Patrick JMT’s Website: www.patrickjmt.com.
These notes from the maths support centre SUMS at NUI Galway introduce piecewise-defined functions and some examples of those. Work through the exercises on Pages 3-4.
One example is the absolute value function (introduced on Page 5). You will find more about this function here.
A pdf of this document can be downloaded here.
Video
Notes
Interactive Exercises
This video from patrickJMT gives an introduction to the absolute value of a number and some examples manipulating expressions involving the absolute value.
Note: All patrickJMT content is available for free at www.youtube.com/user/patrickJMT.
Patrick JMT’s Website: www.patrickjmt.com.
This video from Khan Academy goes a bit further into absolute value functions and shows how to plot the graphs of more complicated absolute value functions.
Note: All Khan Academy content is available for free at www.khanacademy.org.
These notes from MathCentre give a brief overview of the absolute value (modulus) function.
A pdf of this document can be downloaded here.
Plot the graph of the absolute value function
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