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NDA 2017
Exam
NDA
Year
2017
Subject
Mathematics
Chapter
Functions

NDA 2017 · Mathematics · Functions

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

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

Options

  1. Ax2−1\mathrm{x}^2-1
  2. Bx+3xx+\frac{3}{x}
  3. C∣x∣|\mathrm{x}|
  4. Dx2(x−3)x^2(x-3)

Correct answer

D. x2(x−3)x^2(x-3)

Step-by-step solution

If f(x)=x2(x−3)f(x)=x^2(x-3), then f(−x)=x2(−x−3)≠f(x)f(-x)=x^2(-x-3) \neq f(x) or −f(x)⇒f(x)-f(x) \Rightarrow f(x) is neither even nor odd.
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