Numbers and algebra

Exponential function

A function in which the variable appears in the exponent and changes by a constant multiplicative factor over equal intervals.

Common notation f(x) = abˣ

In one sentence

What does Exponential function mean?

A function in which the variable appears in the exponent and changes by a constant multiplicative factor over equal intervals.

How it is written

f(x) = abˣ

A compact example

f(x)=100(1.05)ˣ grows by 5% whenever x increases by one.

Other names and search terms

exponential growth, exponential decay.

Clear answers

Questions about Exponential function

What does Exponential function mean in mathematics?

A function in which the variable appears in the exponent and changes by a constant multiplicative factor over equal intervals.

How is Exponential function written?

A common notation is f(x) = abˣ.

What is an example of Exponential function?

f(x)=100(1.05)ˣ grows by 5% whenever x increases by one.