Is the given relation a function? Give reasons for your answer.

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Is the given relation a function? Give reasons for your answer.

Solution:

(i) Provided,

$t=\{(x, 3) \mid x$ is a real number.

As a result, the domain element $x$ is a real number.

And also, the range has one number i.e., 3 in it.

Hence, in the domain for every element has the image 3, it is a constant function.

If every element of one set has one and only one image in other set then a relation is said to be a function.

As a result, $t$ is a function.

i

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