Question

2) Which set of ordered pairs represents a function?

A] {(0, 4), (2, 4), (2, 5)}
B] {(6, 0), (5, 0), (4, 0)}
C] {(4, 1), (6, 2), (6, 3), (5, 0)}
D] {(0, 4), (1, 4), (0, 5), (1, 5)}

Answer 1

B] {(6, 0), (5, 0), (4, 0)}

Explanation:

You want to know which of the given relations is a function.

Vertical line test

A relation is a function if its graph passes the "vertical line test." To pass that test, the graph must not intersect a vertical line more than once.

When a relation is written as a set of ordered pairs, the list of x-values (input, first in the ordered pair) must not contain any repeated values.

A] input value 2 repeats

B] a function

C] input value 6 repeats

D] input value 0 repeats

The relation of answer choice B is a function.

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