The function f: R arrow [-1, 1] defined by f(x) = x is: Option 1: one-one but not onto Option 2: onto but not one-one Option 3: Both one-one and onto Option 4: Neither one-one nor onto

The answer is 'onto but not one-one'. View full solution:

Algebra > Relations & Functions

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The function $f: \mathbb{R} \rightarrow [-1, 1]$ defined by $f(x) = \cos x$ is:

one-one but not onto

onto but not one-one

Both one-one and onto

Neither one-one nor onto

✅ Correct Option: 2

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