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25 April, 04:38

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

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  1. 25 April, 05:02
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    (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).
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