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Relations And Functions

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Relation And Functions

Consider the following statements in respect of relations and functions: 1. All relations are functions but all functions are not relations. 2. A relation from A to B is a subset of Cartesian product A x B. 3. A relation in A is a subset of Cartesian product A x A. Which of the above statements are correct?

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What is the fundamental difference between an relation and a function? Is every relation a function?

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Which of the following relations are functions ?Give reason. . R={(1,1),(2,2),(3,3),(4,4),(4,5)}

Which of the following relations are functions from A to B write their domain and range if it is not a function give reason ? f={(a,b),(b,c),(c,b),(d,c)},A={a,b,c,d,e},B={b,c}

Which of the following relations are functions from A to B write their domain and range if it is not a function give reason ? f={(a,b),(a,2),(b,3),(b,4)},A={a,b},B={b,2,3,4}