Written by the Fiveable Content Team • Last updated September 2025
Verified for the 2026 exam
Verified for the 2026 exam•Written by the Fiveable Content Team • Last updated September 2025
Definition
The exponential function e^x represents continuous growth or decay over time. It is defined as raising Euler's number (approximately 2.71828) to the power of x.
Related terms
Exponential Growth/Decay: A process where a quantity increases or decreases by a fixed percentage over equal intervals of time.
Natural Logarithm (ln): The inverse operation of exponentiation with base e. ln(x) gives us the power we need to raise e to obtain x.