Piecewise Functions

Evaluate and graph piecewise-defined functions.

1️⃣

Watch the video

Start here (or skip if you already know it)

2️⃣

Visualize it

Explore it, then spot the correct graph

3️⃣

Practice problems

Answer 3 problems (80%+ correct)

Step 1: Watch

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What Are Functions? (Piecewise Intro)

Math Antics · 11:34

Play with the interactive model to see how the math works, then test yourself by spotting the correct graph.

Move the controls and watch the math change — build a picture in your head before you solve.

💡

Different rules apply for different input ranges.

Try the Quiz tab to test your visual intuition for this skill.

Answer 3 problems with at least 80% correct to complete this skill.

Problem 1

f(x) = { x + 2 if x < 0; x² if x ≥ 0 }. Find f(−3).

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