Question

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

Answer 1

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.

Answer 2

Answer:

a is right

Explanation: