Which of the following is an example of a function that is continuous everywhere but not differentiable at exactly two points?
Which of the following is an example of a function that is continuous everywhere but not differentiable at exactly two points?
- A. |x|
- B. |x − 1| + |x − 2|
- C. x²
- D. sin |x|
Answer: B) |x − 1| + |x − 2|
Explanation: The function |x − 1| + |x − 2| has sharp corners at x = 1 and x = 2, making it non-differentiable at exactly these two points, though it is continuous everywhere.
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