neelredara neelredara
  • 18-07-2019
  • Mathematics
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What is the Range of F(x)=(2/3)^x?

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altavistard
altavistard altavistard
  • 18-07-2019

Answer:

(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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