3
ALMultiple Choice

Domain and Range

Question 3 • Common Core Algebra I B-IC

Which of the following relations represents a function?

Answer
A
{ (2, 3), (1, 3), (3, 3) }
B
{ (1, 3), (2, 3), (2, 4) }
C
{ (1, 3), (2, 3), (1, 4) }
D
{ (2, 2), (2, 3), (2, 1) }

Explanation

A relation is a function when each input (the first number in each ordered pair) is matched with exactly one output. In choice A, the inputs 2, 1, and 3 each appear once, so none has conflicting outputs. The other choices repeat an input with different outputs, so they are not functions.

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