Pearson Algebra 2 Common Core, 2013
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Pearson Algebra 2 Common Core, 2013 View details
Concept Byte: Piecewise Functions
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Exercise 1 Page 91

Graph the rules piece by piece, and note whether the inequality is strict or not.

Practice makes perfect
We want to graph the given function.
The function is split into three domains which each have their own rules. Therefore, the specific function is a piecewise function. Let's graph the first rule! Since the function is equal to when is less than the graph will be the horizontal line extended to the left from The point will be represented by an open point because the inequality is strict.

The second piece is just the point

The third rule can be graphed in the same way as the first rule. This time, the horizontal line will be extended to the right from The point will be represented by an open point because the inequality is strict.