Question

Which relations are functions? List the relation number(s) that are function(s) in the answer bank

1. (3, 2), (9, 1), (-4, 7), and (0, -2)

2. (7, 1), (-5, 2), (1, 0), and (-5, 3)

3. (-2, -4), (2, 4), (6, 8), and (-6, -8)

4. (1, 3), (-1, 3), (2, 3), and (-2, 3)

Answer 1

options 1,3,4 are functions.

Explanation:

RULE: a relation is said to be a function if every element in the domain ( the numbers in the left side in the below sets) is related to only one number ( number on the right side in the below sets).

Let us check each option one by one:

1. 3 2

9 1

-4 7

0 -2

here each number on the left side is mapped to or is related to one number only.

so this relation is a function

2. 7 1

-5 2,3

1 0

here, "-5" is mapped to two different numbers. so this relation is not a function.

3. -2 -4

2 4

6 8

-6 -8

here each number on the left side is mapped to or is related to one number only.

so this relation is a function

4. 1 3

-1 3

2 3

-2 3

here each number on the left side is mapped to or is related to one number only.

so this relation is a function.

even if it is related to the same number, it doesn't matter.

it should follow the above given rule that's it.