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.

Scenario: susan wants to make 2 square flags to sell at a crafts fair. the fabric she wants to buy is 3 meters wide. she doesn't want any fabric left over. what's the least amount of fabric she should buy? question: which equation will susan solve her problem? note: let x represent the length of 1 side of the flag. options: 1) 2x^2 = 4x 2) 8 +2x = 2(4x) 3) 2 * 2 = 4 * 2 4) 4x^2 -2x = 0