The function f has a negative average rate of change on every interval of x in the interval 0 ≤ x ≤ 10. The function g has a negative average rate of change on every interval of a in the interval 0 < x < 5, and a positive average rate of change on every interval of x in the interval 5 < x < 10. Which of the following statements must be true about the function h, defined by h(x) = f(x) g(x), on the interval 0 ≤ x ≤ 10? A B h is decreasing on 0≤x≤ 10. h is decreasing on 0 < x < 5; h is increasing on 5 < x < 10. h is decreasing on 0 < x < 5; h is neither increasing nor decreasing on 5 < x < 10. h is decreasing on 0 < x < 5; h can be increasing, decreasing, or both increasing and decreasing on 5 < x < 10.
