Mathematics · Continuity and Differentiability
If f(x) = |x| + |x - 1|, then which of the following statements is correct?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1f(x) is neither continuous nor differentiable at x = 0 and x = 1
- 2f(x) is continuous but not differentiable at x = 0 and x = 1✓
- 3f(x) is differentiable but not continuous at x = 0 and x = 1
- 4f(x) is both continuous and differentiable at x = 0 and x = 1
Correct answer
f(x) is continuous but not differentiable at x = 0 and x = 1
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