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Relations and Functions

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Q1. The identity function is f(x)=x.
Q2. If one input has two different outputs, the relation is a function.
Q3. In an onto function, at least one co-domain element is not an image.
Q4. In an onto function, range equals co-domain.
Q5. (a,b) and (b,a) are always the same ordered pair.
Q6. (g∘f)(x)=g(f(x)).
Q7. (a,b) and (b,a) are always equal.
Q8. x=0 belongs to the domain of f(x)=1/x.
Q9. A function assigns exactly one output to each input.
Q10. ஒரு சார்பின் range எப்போதும் அதன் codomain-ன் உட்கணமாகும்.