ip1069_Understanding_Piecewise-Defined_Functions.docx -...

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Name ______________________________________________ Date _______________ Summary of Functions Understanding Piecewise-Defined Functions Independent Practice 1. Consider the following piecewise function and the graph that represents the function. f ( x ) = { x 2 1, whenx≤ 0 3 x + 2, whenx > 0 Part A: Label the pieces of the f ( x ) on the graph. Part B: What does the closed circle represent? Part C: What does the open circle represent? Part D: Give the domain for which the graph is linear. Part E : Give the domain for which the graph is nonlinear (curved). AlgebraNation.com
2. Students at a local high school in New York City were reviewing piecewise functions as part of the NY State Common Core Mathematics Curriculum tutoring program. They came across this graph. Part A: How many pieces are in the step function? Part B: How many intervals make up the step function? What are the interval values? Part C : Why do we use open circles in some situations and closed circles in

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