Which of the following is not a function? - Vidyadip

MCQ

Which of the following is not a function?

✓
$\{(1, 2), (2, 4), (3, 6)\}$
B
$\{(-1, 1), (-2, 4), (2, 4)\}$
C
$\{(1, 2), (1, 4), (2, 5), (3, 8)\}$
D
$\{(1, 1), (2, 2), (3, 3)\}$

✓

Answer

Correct option: A.

$\{(1, 2), (2, 4), (3, 6)\}$

A relation from a set $A$ to a set $B$ is said to be a function if every element of set $A$ has one and one image in set $B.$
In $\{(1, 2), (1, 4), (2, 5), (3, 8)\},$
since element $1$ has two images $2$ and $4$ which is not possible in a function.
so, it is not a function.
Rest all have one and only one image so they can be called a function.

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