3
ALMultiple Choice

Functions and Their Properties

Question 3 • TX-Pre-Calculus

Which of the following relations represents a function?

Answer
A
A. {(1, 1), (1, 2), (1, 3)}
B
B. {(1, 1), (2, 1), (3, 1)}
C
C. {(1, 1), (2, 2), (3, 3)}
D
D. Both B and C.

Explanation

A relation is a function if each input is paired with exactly one output. In B, the inputs 1, 2, and 3 each appear once, and the same is true in C. In A, input 1 is paired with three different outputs, so A is not a function. Therefore, both B and C are functions.

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