Answer
a.) yes it is a function
b.) [3,12] On this interval the eagle is descending.
c.) On the interval (0,3] the eagle is floating at a constant height of 45 meters. On the interval [12,17] the eagle stays at ground level for a few seconds.
d.) [17,30] On this interval the eagle is ascending.
Work Step by Step
a.) The height is a function of time because the graph passes the vertical line test.
b.) On this interval, the graph has a negative slope so it is decreasing.
c.) On these intervals the graph has a slope of 0 so the function is constant.
d.) On this interval the graph has a positive slope so the function is increasing.