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The Range

This video presents the same text shown beside it, spoken and on screen. It adds nothing the text does not say.

State

The range of a function is the set of all outputs the domain actually produces.

Show

f(x) = x² takes in every real number but only puts out 0 and up: range [0, ∞). Squares are never negative.

Watch for

The range is earned by the domain, never assumed.

Builds on

  • Nothing — this is a starting point.

Unlocks

  • Nothing yet depends on this.