2e^x
Definition
2e^x represents exponential growth similar to e^x, but scaled by a factor of 2. It grows twice as fast for every unit increase in x compared to regular exponential growth.
Analogy
Imagine two bacteria populations growing under different conditions. One population doubles every hour while the other doubles every half-hour. The second population has faster exponential growth due to being scaled by a factor of 2.
Related terms
Exponential Decay: Exponential decay occurs when a quantity decreases at a decelerating rate proportional to its current value.
Initial Value: The initial value is the starting point or y-coordinate of a function before any transformations or changes occur.
Rate of Change: The rate of change measures how fast a function is changing with respect to its input variable. It can be represented as the slope of a tangent line on the graph.
"2e^x" appears in:
Are you a college student?
Study guides for the entire semester
200k practice questions
Glossary of 50k key terms - memorize important vocab
Resources
© 2024 Fiveable Inc. All rights reserved.
AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.