D. Prove that f(x) = |x - 6| is continuous at all points c in R.

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A: False

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Q: Prove that f(x) = |x - 6| is continuous at all points c in ℝ.

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Q: 45. Let f : R → R be a continuous function, such that f(x)= 0 if x is a rational number. Show that…

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Q: Prove that there is no continuous function f : S² → S' such that f(-x) =-f(x) for all x € S².

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