Question

An exponential function is expressed in the form y=axb^x. The relation represents a growth when _______ and a decay when ______.

Answer 1

Growth when: b>1.

Decay when: 0<b<1.

Explanation:

Any function in the form
`f(x)=a{*}b^x` , where a > 0, b > 0 and b not equal to
`1` is called an exponential function with base b.

If 0 < b < 1 this is an example of an exponential decay.

The general shape of an exponential with b > 1 is an example of exponential growth.

Hence,

An exponential function is expressed in the form
`f(x)=a{*}b^x`, The relation represents a growth when b >1 and a decay when 0<b<1.