Find a possible exponential function in y = a · bx (y=a(b)^x) form that represents the situation described below.

Has an initial value of 2 and passes through the point (3, 128).

y = 2 · 4ˣ

Step-by-step explanation:

Initial value of 2 means that a = 2.

y = 2 · bˣ

It passes through the point (3, 128), so:

128 = 2 · b³

64 = b³

b = 4

y = 2 · 4ˣ

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)