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State whether the following relations are functions or not. If it is a function check for one-to-oneness and ontoness. If it is not a function, state why? If X = {x, y, z} and f = {(x, y), (x, z) - Mathematics

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प्रश्न

State whether the following relations are functions or not. If it is a function check for one-to-oneness and ontoness. If it is not a function, state why?

If X = {x, y, z} and f = {(x, y), (x, z), (z, x)}; (f : X → X)

बेरीज

उत्तर

X = {x, y, z}

f = {(x, y), (x, z), (z, x)} f : X → X

The relation f : X → X is not a function since the element x in the domain has two images in the co-domain.

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पाठ 1: Sets, Relations and Functions - Exercise 1.3 [पृष्ठ ३७]

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सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 1 Sets, Relations and Functions
Exercise 1.3 | Q 4. (ii) | पृष्ठ ३७

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