How to Do a Piecewise Function?

Define the function using separate rules for different intervals of the input

Write each rule with its corresponding condition

Use braces to group the rules together

Make sure the intervals do not overlap unless intended

Check whether endpoints are included or excluded using ≤, <, ≥, or >

Evaluate the correct rule based on the input value

Graph each rule only on its specified interval

Mark open or closed circles at interval endpoints as needed

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