Asked by Mark

Which one of the following statements is true?

If f is continuous on (a, b), then f attains an absolute maximum value and f attains an absolute minimum inside the interval (a, b).

If f '(x) > 0 on the interval (a, b), then f is decreasing on the interval (a,b)

If f and g are increasing on the interval (a, b), then f + g is increasing on (a, b).

None of these are true.

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