Question

What is the multiplicative rate of change for the exponential function graphed to the left?

Answer 1

The multiplicative rate of change is 3

Explanation:

The given graph passes through the points:

`(-2,(2)/(9)),(-1,(2)/(3)),(0,2),(1,6),(2,18),(3,54)`

The multiplicative rate of change is the factor that multiplies each y-value to give the subsequent y-values.

We can find that factor by dividing a y-value by the previous y-value of any two consecutive y-value.

The multiplicative rate of change is
`(6)/(2)=3` or
`(18)/(6)=3` or
`(54)/(18)=3` or
`(2)/((2)/(3) ) =3`.