Which equation represents an exponential function that passes through the point (2, 36)? f(x) = 4(3)x f(x) = 4(x)3 f(x) = 6(3)x f(x) = 6(x)3

Question

 Which equation represents an exponential function that passes through the point (2, 36)?

f(x) = 4(3)x
f(x) = 4(x)3
f(x) = 6(3)x
f(x) = 6(x)3

Answer 1

It would be the first equation because:

 

In order to be an exponential function, the X

variable has to be in the exponent, that eliminates

the second and fourth answers

 

        f(X) = 4(3)^X

 

using the point (2,36)

 

   f(2) = 4 (3)²

 

          = 4 (9 )

 

          = 36