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Which of the following relations is a function?A. (0, 10),(-9, 3), (0, 9), (-9,-5)B. (10,6), (3, -9), (9,0), (10,-5)C.(6,10),(-9,3), (0.9), (-5, 10)D. (6,10),(-9,3), (0.9), (0.-5)

User MNVR
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1 Answer

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In order to find out which of the following relation is a function, first, it is important to know that what exactly is a function?

A function is a relation in which every input is mapped to a single output.

If in case, there are two outputs for one input then it is not a function.

Let's analyze each of the given options.

Option A;

(0, 10), (-9, 3), (0, 9), (-9,-5)

As you can see in the above coordinates, the x = 0 has two different outputs y = 10 and y = 9

Similarly, x = -9 has two different outputs y = 3 and y = -5

Therefore, option A is not a function.

Option B:

(10,6), (3, -9), (9,0), (10,-5)

As you can see in the above coordinates, each input x has a single output y.

Therefore, option B is a function.

Option C:

(6, 10), (-9, 3), (0, 9), (-5, 10)

As you can see in the above coordinates, each input x has a single output y.

Therefore, option C is a function.

Option D:

(6, 10), (-9,3), (0, 9), (0, -5)

As you can see in the above coordinates, the x = 0 has two different outputs y = 9 and y = -5

Therefore, option D is not a function.

User AnouarZ
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