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Is the given relation a function? Give reasons for your answer. t = {(x, 3) | x is a real number

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प्रश्न

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

t = {(x, 3) | x is a real number

योग
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उत्तर

t = {(x, 3) | x is a real number.

Therefore, the domain element x is a real number.

Also, range has one number i.e., 3 in it.

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

A relation is said to be function if every element of one set has one and only one image in other set.

Hence, t is a function.

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अध्याय 2: Relations and Functions - Exercise [पृष्ठ २८]

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एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 11
अध्याय 2 Relations and Functions
Exercise | Q 10.(v) | पृष्ठ २८

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