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NDA 2015
Exam
NDA
Year
2015
Subject
Mathematics
Chapter
Functions

NDA 2015 · Mathematics · Functions

For each non-zero real number x , let f(x)=(x)/(|x|) . The range of...

For each non-zero real number x , let f(x)=x∣x∣f(x)=\frac{x}{|x|}. The range of ff is

Options

  1. Aa null set
  2. Ba set consisting of only one element
  3. Ca set consisting of two elements
  4. Da set consisting of infinitely many elements

Correct answer

C. a set consisting of two elements

Step-by-step solution

For a non-zero real number x f(x)=x∣x∣f(x)=\frac{x}{|x|} domain f(x)=x∣x∣f(x)=\frac{x}{|x|} range
for any value of x in domain a set consisting of two elements i.e. (– 1, + 1) ∴\therefore \quad Option (C) is correct.
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