Piecewise FunctionsDifferent rules on different intervals, and where the graph…10th GradeA piecewise function applies a different rule depending on the input.1READ THE CONDITIONSEach rule applies only on its own interval.2PICK THE RIGHT PIECETo evaluate, check which interval the input falls in first.3GRAPH EACH PIECE SEPARATELYOnly over its own interval, not the whole axis.4MARK THE ENDPOINTSFilled circle if the endpoint is included, open if not.WORKEDf(x) = x + 1 for x < 2; f(x) = x² for x ≥ 2f(0) = 1 (first piece)f(3) = 9 (second piece)Absolute value is a piecewise function in disguise: x for x ≥ 0, and−x for x < 0.Piecewise Functionswww.littleactivity.com

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Math · 10th Grade

Piecewise Functions

Different rules on different intervals, and where the graph breaks.

How to use it

Check the endpoints. Open or closed circles are where the marks are.

Free · print-ready PDF · US Letter and A4

Grade
10th Grade
Ages
15–16
Subject
Math
Pages
1

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