Use the graph to determine (a) open intervals on which the function is increasing, if any. (b) open intervals on which the function is decreasing, if any. (c) open intervals on which the function is constant, if any. For part (a), select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The function is increasing on the interval(s) [input box]. (Type your answer in interval notation. Use a comma to separate answers as needed.) B. The function is never increasing.

Answer

To determine where the function is increasing, we observe the graph from left to right. A function is increasing where the graph goes upward as we move from left to right. Looking at the graph, the function rises from x = -4 up to the local maximum at x = -3, and then rises again from the local minimum at x = -2 up to the local maximum at x = -1. Therefore, the function is increasing on the intervals (-4, -3) and (-2, -1). Thus, the correct choice is A, and the answer to enter in interval notation is (-4,-3),(-2,-1).