Question

Define an exponential function and include how to tell from the equation if it is exponential growth or decay.Provide an example of an exponential growth equation and provide an example of an exponential decay equation.

Answer 1

An exponential function is a mathematical function of the form:

`f(x)=a^x`

Where a > 0 and x is a Real Number.

To tell from the equation if is a exponential growth, we need to look at the sign of x:

Exponential growth:

If x > 0

Exponential decay:

If x < 0

Now an example of exponential growth could be:

`a^3`

And an example of exponential decay could be:

`a^(-3)`