Mathematics · Functions and Calculus
Let f(x) be a function defined on [-1/2, 1/2] by f(x) = x - [x] - 1/2 for x ≠ 1/2 and f(1/2) = 0, where [x] represents the greatest integer function. Then:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1f(x) is an odd function with period 2
- 2f(x) is an even function with period 2
- 3f(x) is an odd function with period 1✓
- 4f(x) is an even function with period 1
Correct answer
f(x) is an odd function with period 1
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