Answer:
D
Step-by-step explanation:
The equation of an exponential function is
y = a[tex](b)^{x}[/tex]
To find a and b, substitute (1, 12) and (2, 36) into the equation
(1, 12) → 12 = ab → (1)
(2, 36) → 36 = ab² → (2)
divide (2) by (1)
[tex]\frac{ab^2}{ab}[/tex] = [tex]\frac{36}{12}[/tex]
b = 3
substitute b = 3 into (1)
12 = 3a ⇒ a = 4
f(x) = 4[tex](3)^{x}[/tex] → D
