Q244 / 270 · NDA 2017 (Phase 1) · Mathematics

Which one of the following functions is neither even nor odd?

  • A
    $\mathrm{x}^2-1$
  • B
    $x+\frac{3}{x}$
  • C
    $|\mathrm{x}|$
  • Correct answer
    D
    $x^2(x-3)$

Solution

If $f(x)=x^2(x-3)$, then $f(-x)=x^2(-x-3) \neq f(x)$ or $-f(x) \Rightarrow f(x)$ is neither even nor odd.

Hence, the correct answer is option: 'D'.

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