a) x-intercepts (where it passes through the x-axis) are: 0.05, 0.745, 0.8, 1.45, 1.55, 2.2
The x-intercepts represent when height = 0 and y-intercepts represent when time = 0
b) The graph is positive when height is positive: [0.05, 0.745] U [0.8, 1.45] U [1.55, 2.2]
c) The graph is negative when height is negative: [0, 0.05] U [0.745, 0.8] U [1.45, 1.55] U [2.2, ∞)
d) The average rate of change is the slope (rise/run) between the coordinates when x = 0.75 (y = -5) and when x = 1.125 (y = 1.7).
slope = [tex]\frac{1.7 - (-5)}{1.125 - 0}[/tex] = [tex]\frac{6.7}{1.125}[/tex] = 6
