The function f: [0, ∞) arrow R defined by, f(x) = 2x^2 + 3, is Option 1: one-one and onto Option 2: one-one but not onto Option 3: onto but not one-one Option 4: neither one-one nor onto

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

Algebra > Relations & Functions

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The function $f: [0, \infty) \rightarrow \mathbb{R}$ defined by, $f(x) = 2x^2 + 3$, is

one-one and onto

one-one but not onto

onto but not one-one

neither one-one nor onto

✅ Correct Option: 2

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