Mathematics · Calculus
The function f(x) defined as f(x) = π/4 + tan-1 x for |x| ≤ 1, and f(x) = (|x| - 1)/2 for |x| > 1, is:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1both continuous and differentiable on R - {-1}
- 2continuous on R - {-1} and differentiable on R - {-1, 1}
- 3both continuous and differentiable on R - {1}
- 4continuous on R - {1} and differentiable on R - {-1, 1}✓
Correct answer
continuous on R - {1} and differentiable on R - {-1, 1}
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