Answer:
The equation of the exponential function represented by the table will be:
[tex]f(x)= 2(4)^{x}[/tex]
Step-by-step explanation:
We know the equation of exponential function such as
[tex]f(x) = ab^{x}[/tex]
Put x=0, and y=2 in the function
[tex]2 = ab^{0}[/tex]
[tex]2 = a[/tex]
Also x=1, and y=8 in the function
[tex]8 = 2b^{1}[/tex]
[tex]b=4[/tex]
Thus,
[tex]f(x) = ab^{x}[/tex]
[tex]= 2(4)^{x}[/tex]
Therefore, the equation of the exponential function represented by the table will be:
[tex]f(x)= 2(4)^{x}[/tex]
