Mathematics · Continuity and Differentiability
Let f(x) = |x| be a function. Which one of the following statements is TRUE?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1f(x) is not differentiable at any integral point
- 2f(x) is continuous on R - {0}
- 3f(x) is continuous and differentiable everywhere
- 4f(x) is continuous on R but not differentiable at x = 0✓
Correct answer
f(x) is continuous on R but not differentiable at x = 0
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