Question

Which of the following sets of ordered pairs is not a function?

{(0, 2), (1, 4), (2, 5), (3, 6)}
{(-1, 2), (1, 3), (1, 5), (-3, 4)}
{(0, 2), (1, 2), (2, 2), (3, 2)}
{(-4, 3), (-1, 1), (-2, 5), (3, 7)}

Answer 1

Answer:

2 is not a function because 1 has no unique image

Answer 2

Option B: The ordered pairs $\{(-1,2),(1,3),(1,5),(-3,4)\}$ is not a function

Explanation:

Given that the set of ordered pairs.

We need to determine the ordered pairs which is not a function.

Option A: $\{(0,2),(1,4),(2,5),(3,6)\}$

The given ordered pair is said to be a function because each element of X is related to only one element in Y.

Hence, the ordered pair $\{(0,2),(1,4),(2,5),(3,6)\}$ is a function.

Therefore, Option A is not the correct answer.

Option B: $\{(-1,2),(1,3),(1,5),(-3,4)\}$

The given ordered pair is not a function because the element 1 in X is related to two different elements of Y.

Hence, the ordered pair $\{(-1,2),(1,3),(1,5),(-3,4)\}$ is not a function.

Therefore, Option B is the correct answer.

Option C: $\{(0,2),(1,2),(2,2),(3,2)\}$

The given ordered pair is said to be a function because each element of X is related to only one element in Y.

Hence, the ordered pair $\{(0,2),(1,2),(2,2),(3,2)\}$ is a function.

Therefore, Option C is not the correct answer.

Option D: $\{(-4,3),(-1,1),(-2,5),(3,7)\}$

The given ordered pair is said to be a function because each element of X is related to only one element in Y.

Hence, the ordered pair $\{(-4,3),(-1,1),(-2,5),(3,7)\}$ is a function.

Therefore, Option D is not the correct answer.

Learn more:

(1) What is a function?

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