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Which One the Following Relations On A = {1, 2, 3} is a Function? F = {(1, 3), (2, 3), (3, 2)}, G = {(1, 2), (1, 3), (3, 1)}

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प्रश्न

Which one the following relations on A = {1, 2, 3} is a function?
f = {(1, 3), (2, 3), (3, 2)}, g = {(1, 2), (1, 3), (3, 1)}                                                                                                        [NCERT EXEMPLAR]

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उत्तर

As, each element of the domain set has unique image in the relation f = {(1, 3), (2, 3), (3, 2)}
So, f is a function.
Also, the element 1 of the domain set has two images 2 and 3 of the range set in the relation g = {(1, 2), (1, 3), (3, 1)}
So, g is not a function.

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अध्याय 2: Functions - Exercise 2.5 [पृष्ठ ७४]

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आर.डी. शर्मा Mathematics Volume 1 and 2 [English] Class 12
अध्याय 2 Functions
Exercise 2.5 | Q 39 | पृष्ठ ७४

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