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College Algebra / Unit 8   Alg 412 short lesson, about 20 seconds

Growth and Decay

Captions available

The idea

An exponential function grows when its base exceeds 1 and decays when the base sits between 0 and 1.

In practice

2ˣ climbs 1, 2, 4; (1/2)ˣ fades 1, 0.5, 0.25 — the same machine, run toward opposite fates by the base.

Your place on the trail

Every lesson rests on earlier ones and opens later ones. Tap any to jump.

Builds on

  • Nothing. This is a starting point.

Unlocks

  • Nothing yet depends on this.

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