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Example 10 - Chapter 2 Class 11 Relations and Functions (Term 1)
Last updated at Sept. 3, 2021 by Teachoo
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Example 10 You are here
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Chapter 2 Class 11 Relations and Functions
Serial order wise
- Ex 2.1
- Ex 2.2
- Ex 2.3
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Examples
- Miscellaneous
Transcript
Example 10 Let N be the set of natural numbers and the relation R be defined on N such that R = {(x, y) : y = 2x, x, y ∈ N}. What is the domain, codomain and range of R? Is this relation a function? Given that y = 2x & x , y ∈ N Here, x is a always natural number, So, Domain = Set of natural numbers = N Here, y is always an even number Range = Set of even natural numbers Codomain = Set of Natural numbers = N Here, the first elements (i.e. x) are not repeating. Hence they have unique(one) images(i.e.y). So, this relation is a function
