Question

Write the function for the graph

Answer 1

(D). f(x) = 3 ·
`(4)^(x)`

Explanation:

The equation of an exponential function is

f(x) = y =
`a(b)^(x)`

For point (0, 3)

3 = a
`(b)^(0)` ⇒ a = 3

For point (1, 12)

12 = 3
`(b)^(1)` ⇒ b = 4

f(x) = 3 ·
`(4)^(x)`