Definition:Exponential Function/General

Definition

A general exponential function is a real function of the form:

$\map f x = a b^{c x + d}$

where:

$a, b, c, d \in \R$ such that $b > 0$

$x$ is a real variable.

When $a = c = 1$ and $d = 0$, this degenerates to:

$\map f x = b^x$

Also see

• Results about the general exponential function can be found here.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): exponential function
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): exponential function

• Weisstein, Eric W. "Exponential Function." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ExponentialFunction.html