That night, You watches the air show.  The air show team performed a vertical loop (as shown in the picture). The altitude and time data for the loop are shown in the table. Time (s) 0 1 2 3 4 5 6 7 8 9 10 11 12 Altitude (m) 5050 4782 4050 3050 2050 1320 1050 1320 2050 3050 4050 4782 5050 a) Sketch a graph of your model for 2 cycles.  Show at least 5 accurate points for each cycle.   Remember to fully label your graph.  b) State the domain and range of the function.

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A:

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.