Mathematics · Calculus
For which of the following piecewise functions is f(x) continuous everywhere on its domain?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1f(x) = -5 for x ≤ -3; |x| for -3 < x < 3; 5 for x ≤ 3
- 2f(x) = x for x ∈ &mathbb{Q}c; 1 - x for x ∈ &mathbb{Q}
- 3f(x) = -1 for x ≤ -1; x5 for -1 < x < 1; 1 for x ≥ 1✓
- 4f(x) = -1 for x ≤ -5; x for -5 < x < 5; 1 for x ≥ 5
Correct answer
f(x) = -1 for x ≤ -1; x5 for -1 < x < 1; 1 for x ≥ 1
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