Piecewise Functions

Overview

Goal. Evaluate piecewise functions by matching the input to its condition, settle boundary inputs correctly, and read piecewise graphs with open and closed circles.

Piecewise function (definition). A function defined by different rules (pieces), each rule applying to a different part of the domain.

Piecewise functions: conditions choose the rule, boundary points, open and closed circles.

Lesson Notes

Flip through the notes one page at a time using the buttons below.

Notes page

Lesson Video

Watch the lesson video.

Interactive Activity

Goal. Evaluate a piecewise function by choosing the rule whose condition the input satisfies, and read its graph — open circles, closed circles, and the jump between pieces.

Piecewise function (definition). A function defined by different rules (pieces), each rule applying to a different part of the domain.

Piecewise Functions — Interactive ActivityOpen ›