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