Question

Which one of the following statements is true?

A. 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).

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

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

D. None of the above.

Answer 1

I'm pretty sure its C. If f and g are increasing on the interval (a, b), then f + g is increasing on (a, b).