Question

The average rate of change for an exponential function grows by equal [blank1] per unit interval.

Answer 1

Answer: The average rate of change for an exponential function grows by equal factor per unit interval.

Explanation:

The general exponential equation for growth is given by:-

`y=Ab^x`, where

A= initial value

b= Multiplicative growth rate

x = time period

For each value of x, the value of y increases by an equal value of multiplicative factor ( b).

For example: at x=0 ,
`y=A`

at x=1,
`y=Ab`

at x= 2,
`y=Ab^2`

Hence, the average rate of change for an exponential function grows by equal factor per unit interval.