Question

Choose the equation that represents an exponential function that passes through the point (2, 36).

A. f(x) = 4(3)x
B. f(x) = 4(x)3
C. f(x) = 6(3)x
D. f(x) = 6(x)3

Answer 1

a is right

Step-by-step explanation:

Answer 2

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* 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.