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Mathematics
Orion Davidson
25 April, 04:38
What is the Range of F (x) = (2/3) ^x?
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Ayaan Barnett
25 April, 05:02
0
(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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