ACT Preparation / Unit 12 ACT 1109 short lesson, about 20 seconds
The Exponential Graph
Captions available
The idea
The graph of f(x) = a·bˣ, with a > 0, passes through (0, a), stays above the x-axis, and approaches the asymptote y = 0.
In practice
2ˣ passes through (0, 1) and (1, 2) and flattens toward 0 on the left.
Where people slip
A vertical shift moves the asymptote: 2ˣ − 3 approaches y = −3.
Your place on the trail
Every lesson rests on earlier ones and opens later ones. Tap any to jump.
Builds on
Unlocks
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