Question

X-24194/3Determine the formula for the exponential function for the table provided04112236

Answer 1

the exponential function is of the form

`g(x)=a(b)^x`

In this problem

For x=0, g(x)=4

that means

the initial value a is equal 4

a=4

substitute

`g(x)=4(b)^x`

For x=1, g(x)=12

substitute in the expression above

`\begin{gathered} 12=4(b)^1 \\ 4b=12 \\ b=(12)/(4) \\ b=3 \end{gathered}`

therefore

`g(x)=4(3)^x`

the answer is the third option