English

Let \(X=\{-1,2,5,8,11\}\), \(Y=\{4,6,8\}\), and suppose different elements \(2,5,8\) of \(X\) have the same image \(4\). What type of function is it with respect to the one-one property?

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Question

Let \(X=\{-1,2,5,8,11\}\), \(Y=\{4,6,8\}\), and suppose different elements \(2,5,8\) of \(X\) have the same image \(4\). What type of function is it with respect to the one-one property?

Options

  • Onto

  • One-one

  • Bijective

  • Many-one

MCQ
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Solution

The different domain elements \(2,5,8\) share the same image \(4\). This directly satisfies the condition for a many-one function and violates the one-one condition.

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