Question: Let f and g be continuous functions such that f(x) = g'(x) for all x. Which of the following statements must be true? I. f(x)

Let f and g be continuous functions such that f(x) = g'(x) for all x. Which of the following

statements must be true?

I. f(x) = g(x) for all x.

Il. If f(0) = g(0), then f(x) = g(x) for all x.

IlI. There is a constant k such that f(x) = g(x) + k for all x.

  • I only
  • Ill only
  • I and Il only
  • II and Ill only
  • I, II, and III

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