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Increasing and Decreasing Functions

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

State

A function is increasing on an interval when outputs rise as inputs rise within it, and decreasing when outputs fall as inputs rise.

Show

f(x) = x² falls on (−∞, 0) and rises on (0, ∞) — read left to right, downhill then uphill, with the turn at the bottom.

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