Piecewise functions — 5-topic bundle

You'll learn to graph piecewise functions by treating each piece as its own mini-function restricted to its own domain slice. You'll master open vs. closed circles at boundary points, and you'll check continuity by comparing left and right limits. By the end, you can sketch any piecewise function accurately without a calculator.

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A piecewise function uses different formulas on different parts of the domain, like switching rules depending on where x lands. You'll learn how to evaluate them, graph them piece by piece, and check whether they're continuous at the breakpoints. By the end, you'll read piecewise notation fluently and spot discontinuities without plotting every point.

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