Since we were given only one point, we have to test each exponential function for the point [tex](2,36).[/tex]
Since exponential functions are of the form [tex]y=n(a)^{kx}[/tex], The correct option is between option A and option C.
For option A,
[tex]f(x)=4(3)^{x}[/tex]
On substitution, we have;
[tex]36=4(3)^{2}[/tex]
[tex]\Rightarrow 36=4\times 9[/tex]
[tex]\Rightarrow 36=36[/tex].
Since the point satisfied the exponential function [tex]f(x)=4(3)^{x}[/tex], the exponential function goes through it.
Hence the correct answer is option A.
No need to test for option C again.
