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