In exponential growth functions, the base of the exponent must be greater than 1. how would the function change if the base of the exponent were 1? how would the function change if the base of the exponent were between 0 and 1?

An exponential growth function is represented as:

Where:

initial value

base

When the base is 1

This means that

So, the function will be:

This means that; irrespective of the x-value, the y-value will remain unchanged i.e. the function will be constant.

Hence, when , the exponential growth function will be a horizontal line

When the base is between 0 and 1

This is represented as

This means that the function is a decay function; the decay function decreases as the x-value increases.

So, when b is between 0 and 1, the function would decrease.

Read more about exponential growth functions at:

link

hard

step-by-step explanation:

x = -5

step-by-step explanation: