Question

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

Answer 1

Answer:

The multiplicative rate of change is 3

Step-by-step explanation:

The given graph passes through the points:

$(-2,\frac{2}{9}),(-1,\frac{2}{3}),(0,2),(1,6),(2,18),(3,54)$

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 $\frac{6}{2}=3$ or $\frac{18}{6}=3$ or $\frac{54}{18}=3$  or $\frac{2}{\frac{2}{3} } =3$.