Question

X -1 0 1 2 h(x) 4 12 36 108write an exponential function of the form y=ab^x

Answer 1

`y=12(3)^x`

Step-by-step explanation:

Given the form of the exponential function:

`y=ab^x`

In the pair: (0,12)

`\begin{gathered} x=0,y=12 \\ \implies12=a* b^0 \\ \implies12=a*1 \\ a=12 \end{gathered}`

Substituting a=12, and the point (1,36):

`\begin{gathered} y=ab^x \\ 36=12* b^1 \\ 12b=36 \\ b=(36)/(12) \\ b=3 \end{gathered}`

Thus, the exponential function is:

`y=12(3)^x`