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Which one of the given relations on A={ 1,2,3 } is a function?

Question

Which one of the given relations on $A = {1, 2, 3}$ is a function?
$f = {(1, 3), (2, 3), (3, 2)}$ , $g = {(1, 2), (1, 3), (3, 1)}$

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Harper Discussed

Which one of the given relations on

A = {1, 2, 3}

is a function?

f = {(1, 3), (2, 3), (3, 2)}

g = {(1, 2), (1, 3), (3, 1)}

13 mins ago

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13 mins ago

Text solutionVerified

f = {(1, 3), (2, 3), (3, 2)}

\Rightarrow

As we can see, in

f

, each element of the domain set has unique image.

∴

f

is a function.

g = {(1, 2), (1, 3), (3, 1)}

\Rightarrow

g

, the element

1

of the domain set has two images

2

and

3

of the range set.

∴

g

is not a function.

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Question Text	Which one of the given relations on $A = {1, 2, 3}$ is a function? $f = {(1, 3), (2, 3), (3, 2)}$ , $g = {(1, 2), (1, 3), (3, 1)}$
Answer Type	Text solution:1
Upvotes	150