AP® Precalculus · Unit 2 · Topic 2.3
Growth, Decay, and End Behavior
Watch it explained
- How it worksHow does an exponential model approach a horizontal asymptote without ever landing on it?
- Worked exampleFind the end behavior of f(x) = 5 times 0.8x as x grows without bound.
- Going furtherWhat happens to the asymptote when you add 20 to an exponential decay function?
- Ties togetherHow does having no point of inflection follow from an exponential changing proportionally everywhere?
Check yourself
Your turn1 of 2
For f(x) = 7·0.76x + 28 (with 0 < 0.76 < 1), find the horizontal asymptote of f as x approaches infinity.End of topic.