Graph, write, and evaluate linear piecewise functions.
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Desmos has a tutorial, Learn Desmos: Restrictions, on creating graphs with domain or range restrictions. Take a look at this before creating the problem set and note that open and closed points must be added separately from the functions.
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Write the piecewise function shown in the graph below.
Graph the following piecewise function. Describe whether the function is continuous or discontinuous.
$$f(x)=\left\{\begin{matrix} -{1\over2}x+4, \space x>2 \\ -2x+1, \space \space \space -2<x\leq2 \end{matrix}\right.$$
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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Graph the piecewise function.
$${f(x)=\left\{\begin{matrix}x-4, \space \mathrm{if}\space x\leq1 \\ 3x,\space \mathrm{if}\space x>1 \end{matrix}\right.}$$
Write equations for the piecewise function shown below.