Question

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

Answer 1

Answer:

Growth when: b>1.

Decay when: 0<b<1.

Step-by-step explanation:

Any function in the form $f(x)=a{\times}b^x$ , 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 $f(x)=a{\times}b^x$,   The relation represents a growth when  b >1 and a decay when 0<b<1.