Mathematics · Calculus

Which of the following functions is continuous at every point on the entire real line ℝ?

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1f(x) = 1/x
2f(x) = sgn(x), where sgn denotes the signum function
3f(x) = 1 if x is rational, and 0 if x is irrational
4f(x) = |x|✓

Correct answer

f(x) = |x|

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Which of the following functions is continuous at every point on the entire real line ℝ?

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Which of the following functions is continuous at every point on the entire real line ℝ?

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