Which best describes the range of the function f(x) = 2(3)x? y > 0 y ≥ 0 y > 2 y ≥ 2

y > 0

Step-by-step explanation:

The range of the function

The function  is twice faster increasing function than the function .

So, the range of this function is the same as the range of the function

Hence, the range of the function  is  or

the range of this function is (-∞, ∞)

Step-by-step explanation:

f(x) = 2(3)x should be written with " ^ " to denote exponentiation:

f(x) = 2(3)^x

To help yourself visualize the range:  

f(-∞) approaches zero as x decreases

f(0) = 2(3^0) = 2(1) = 2

f(2) = 2(3^2) = 18

As x increases, y increases without bound.

Thus, the range of this function is (-∞, ∞).