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NDA 2017
Exam
NDA
Year
2017
Subject
Mathematics
Chapter
Functions

NDA 2017 · Mathematics · Functions

The function f(x)=|x|-x^3 is

The function f(x)=∣x∣−x3f(x)=|x|-x^3 is

Options

  1. Aodd
  2. Beven
  3. Cboth even and odd
  4. Dneither even nor odd

Correct answer

D. neither even nor odd

Step-by-step solution

f(x)=∣x∣−x3f(x)={x−x3,x≥0−x−x3,x<0f(−x)={x+x3,x≥0x+x3,x<0\begin{aligned} & f(x)=|x|-x^3 \\ & f(x)=\left\{\begin{array}{l}x-x^3, x \geq 0 \\ -x-x^3, x < 0\end{array} \quad f(-x)=\left\{\begin{array}{l}x+x^3, x \geq 0 \\ x+x^3, x < 0\end{array}\right.\right.\end{aligned} Neither even nor odd.
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