What is the multiplicative rate of change for the exponential function graphed to the left?
![What is the multiplicative rate of change for the exponential function graphed to the left class=](https://us-static.z-dn.net/files/da7/084a1549bbfa674c248c19fa75e7ea9a.png)
Answer:
The multiplicative rate of change is 3
Step-by-step explanation:
The given graph passes through the points:
[tex](-2,\frac{2}{9}),(-1,\frac{2}{3}),(0,2),(1,6),(2,18),(3,54)[/tex]
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 [tex]\frac{6}{2}=3[/tex] or [tex]\frac{18}{6}=3[/tex] or [tex]\frac{54}{18}=3[/tex] or [tex]\frac{2}{\frac{2}{3} } =3[/tex].