katlin95
Which of the following functions decreases, going downwards from left to right on a graph?
A. y = 4x
B. y = 5x
C. y = (1/2)^x
D. y = 3(2)^x
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katlin95
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@ninjawolfjj
ninjawolfjj
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I feel like you are missing a negative sign...
ninjawolfjj
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Well...
katlin95
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hmm let me check
katlin95
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no not missing anything:)
ninjawolfjj
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ok
katlin95
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would my answer be C?
ninjawolfjj
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I believe it is probably C.
mathstudent55
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C is correct. Since you are raising a fraction between 0 and 1 to a power, the higher the power, the smaller the number will be. For example:
For x = 1, 2, 3
(1/2)^1 = 1/2
(1/2)^2 = 1/4
(1/2)^3 = 1/8
As you can see, as x increased, from 1 to 2 to 3, f(x) decreased from 1/2 to 1/4 to 1/8