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.

Similar Questions

If f is differentiable at x=c, which of the following statements must be true?A. f is continuous at x=c B. f^1 is continuous at
1. 1 answer
Which of the following statements would always be true?I. If f is differentiable at x = c, then f is continuous at x = c. II. If
1. 1 answer
Which of the following statements is true about operant conditioning?Select one: • a. Neither partial nor continuous
1. 1 answer
The graph of f '(x) is continuous and decreasing with an x-intercept at x = -3. Which of the following statements must be true?
1. 3 answers