Question

*Which of these relations is NOT a function?*
1️⃣ {(1, -5), (3, 1), (-5, 4), (4, -2)}
2️⃣ {(2, 7), (3, 7), (4, 7), (5, 8)}
3️⃣ {(1, -5), (-1, 6), (1, 5), (6, -3)}
4️⃣ {(3, -2), (5, -6), (7, 7), (8,8)}

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

Which of these relations is NOT a function

1. {(1, -5), (3, 1), (-5, 4), (4, -2)}

2. {(2, 7), (3, 7), (4, 7), (5, 8)}

3. {(1, -5), (-1, 6), (1, 5), (6, -3)}

4. {(3, -2), (5, -6), (7, 7), (8,8)}

CONCEPT TO BE IMPLEMENTED

Function

Let A and B are two non empty sets. A mapping f from A to B is a rule that assigns every element x of A definite y in B

EVALUATION

CHECKING FOR OPTION : 1

{(1, -5), (3, 1), (-5, 4), (4, -2)}

We see that every element in the domain set maps to a unique element of the Co-domain set

So the above relation is a function

CHECKING FOR OPTION : 2

{(2, 7), (3, 7), (4, 7), (5, 8)}

We see that every element in the domain set maps to a unique element of the Co-domain set

So the above relation is a function

CHECKING FOR OPTION : 3

{(1, -5), (-1, 6), (1, 5), (6, -3)}

We see that the element 1 in the domain set maps to different element - 5 & 5 of the Co-domain set

So the above relation is not a function

CHECKING FOR OPTION : 4

{(3, -2), (5, -6), (7, 7), (8,8)}

We see that every element in the domain set maps to a unique element of the Co-domain set

So the above relation is a function

FINAL ANSWER

Hence the correct option is

3. {(1, -5), (-1, 6), (1, 5), (6, -3)}

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