# Graphing piecewise non-linear functions

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##### Examples
###### Lessons
1. For the following function

1. Sketch the graph
2. State the domain
3. State the range
2. For the following function

1. Sketch the graph
2. State the domain
3. State the range
3. For the following function

1. Sketch the graph
2. State the domain
3. State the range
1. Graph $f(x) = |(x + 2)^{2} - 9|$; and
2. Express $f(x) = |(x + 2)^{2} - 9|$ as a piecewise function
1. Graph $f(x) = |x^{3} + 3x^{2} + 2x|$; and
2. Express $f(x) = |x^{3} + 3x^{2} + 2x|$ as a piecewise function