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Question

If A = {2, 4, 6, 8} and B = {2, 3, 5, 7, 9}. Which of the following is a function from A to B?


A

f : A → B defined by f(2) = 2, f(4) = 3, f(4) = 2

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B

f : A → B defined by f(2) = 2, f(4) = 2, f(2) = 3, f(8) = 9

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C

f : A → B defined by f(2) = 2, f(4) = 3, f(6) = 5, f(8) = 7

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D

f : A → B defined by f(2) = 2, f(4) = 3, f(2) = 3

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Solution

The correct option is C

f : A → B defined by f(2) = 2, f(4) = 3, f(6) = 5, f(8) = 7


f is a function if each element of A corresponds to exactly one element of B.

Hence, f : A → B defined by f(2) = 2, f(4) = 3, f(6) = 5, f(8) = 7


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