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NDA 2010
Exam
NDA
Year
2010
Subject
Mathematics
Chapter
Functions

NDA 2010 · Mathematics · Functions

Consider the function f: R arrow\ 0,1\ such that f(x)=\ array cc 1...

Consider the function f:R→{0,1}f: R \rightarrow\{0,1\} such that f(x)=\left\{1 if x is rational 0 if x is irrational \begin{array}{cc} 1 & \text{ if } x \text{ is rational } \\ 0 & \text{ if } x \text{ is irrational } \end{array}\right. Which one of the following is correct?

Options

  1. AThe function is one-one into
  2. BThe function is many-one into
  3. CThe function is one-one onto
  4. DThe function is many-one onto

Correct answer

D. The function is many-one onto

Step-by-step solution

The correct answer is option (D).
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