Answer:
A.f(x)=4(3)x
Step-by-step explanation:
Exponential functions have the form of
[tex]y=a(b)^x+c[/tex].
If an x and y value satisfy the equation then, it's on the exponent's graph!
[tex]\hrulefill[/tex]
We're given a point and need to find the function that its graph is a part of.
We can eliminate B and D since all exponential functions must have an exponent of x.
We can plug the x and y values of the point into A and C to see which one it satisfies.
A:
[tex]36=4(3)^2[/tex]
[tex]36=4(9)=36[/tex]
C:
[tex]36=6(3)^2[/tex]
[tex]36=6(9)[/tex]
[tex]36 \neq54[/tex]
So, A is our final answer