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Distinguish Relations from Functions
Grade Level
GRE
QR.137 Distinguish Relations from Functions
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For every real x, a relation assigns y = 1 if x is rational and y = 0 if x is irrational. Is this relation a function of x?
A
Yes, because each real number is either rational or irrational, not both.
B
No, because the graph would have many separated points.
C
No, because the rule mentions two categories of numbers.
D
Yes, because rational inputs and irrational inputs have the same output.
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