Respuesta :

Answer:

(D). f(x) = 3 · [tex](4)^{x}[/tex]

Step-by-step explanation:

The equation of an exponential function is

f(x) = y =  [tex]a(b)^{x}[/tex]

For point (0, 3)

3 = a [tex](b)^{0}[/tex] ⇒ a = 3

For point (1, 12)

12 = 3 [tex](b)^{1}[/tex] ⇒ b = 4

f(x) = 3 · [tex](4)^{x}[/tex]