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.

Answer

To determine where the function is increasing, decreasing, or constant, we observe the graph from left to right along the x-axis. Part (a) shows the function is rising from negative infinity to x = 0 (or specifically looking at the given domain with arrows, but here the choices indicate open intervals), and from x = 1 to x = 2. Looking at part (b) for the decreasing intervals, the function falls as we move from x = 0 to x = 1, and also falls from x = 2 to positive infinity. Therefore, the function is decreasing on the intervals (0, 1) and (2, infinity).