Question

Which rule can be used to describe the growth of the y vales of the function y=12^x over each interval from x=-1 to x=3?

Answer 1

Answer: multiply by 12

Answer 2

The function is
`f(x)=12^x`.

This means that as we get from 1 to 2, we have the following values:


`f(1)=12^1=12`, and
`f(2)=12^2=12\cdot12`.

Similarly, if we check x=3, we have
`f(3)=12^3=12\cdot12\cdot12`.


We can see that as x changes by 1 (with greater values), y increases by a factor of 12.


Answer: multiply by 12