What is the Range of F (x) = (2/3) ^x?

(0, infinity)

Step-by-step explanation:

Note that F (0) = (2/3) ^0 = 1; the y-intercept is (0, 1).

Because 2/3 is between 0 and 1, this is a decaying exponential. As x increases F decreases towards y = 0, but never actually touches y = 0.

As x decreases (moves away from x = 0, to the left), F increases.

Thus, the range of F is (0, infinity).