Mathematics · Real Analysis
Let f : ℝ → ℝ be a continuous and one-to-one function. Which of the following statements is necessarily true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1f is onto
- 2f is either strictly increasing or strictly decreasing✓
- 3f is strictly decreasing
- 4f is strictly increasing
Correct answer
f is either strictly increasing or strictly decreasing
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