Mathematics · Set Theory and Functions
Let a function f: R → {0, 1} be defined such that f(x) = 1 if x is a rational number, and f(x) = 0 if x is an irrational number. Which of the following is true?
- 1The function is many-one and onto
- 2The function is one-one and into
- 3The function is many-one and into✓
- 4The function is one-one and onto
Correct answer
The function is many-one and into
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