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Definition of Functions

State, whethe...

Question

State, whether the following relations are functions or not. { (a, b), (b, c), (c, d), (d, e) }. Type 1 if they are function and 0 if they are not

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Solution

A function is a set of ordered pairs in which each x-element has only ONE y-element associated with it.
Since no two-ordered pairs have same first first component, it is a function .

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R_{1} = {(a, 1), (a, 3)}

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