Mathematics · Functions and Relations
Given below are two statements: Statement I: The function f: ℝ → ℝ defined by f(x) = x2 + |x| is one–one. Statement II: The function f: ℝ → ℝ defined by f(x) = x2 - 5x + 6x2 - 3x + 2 is many–one.
- 1Statement I is false but Statement II is true.
- 2Statement I is true but Statement II is false.
- 3Both Statement I and Statement II are true.✓
- 4Both Statement I and Statement II are false.
Correct answer
Both Statement I and Statement II are true.
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