Even and odd functions both have a certain level of symmetry. the main difference is that even functions have a very distinct line of symmetry across the Y-axis and odd functions reflect on both axis. Both functions otherwise have very similar properties in composition and are very intriguing to play around with in desmos.
A: in a, the graph indicates that the flag ascends at a constant speed over time. B: in b, the graph indicates that the flag ascends very quickly, and slows down near the end. C: c states that the flag ascends in short burst of speed. slowing down, and then accelerating again. D: d shows that the flag ascends slowly, and accelerates as it climbs E: e ascends slowly like d, and speeds up, but slows down near the end like b F: in f, the flag exists at all point along the flagpole in the same instant of time. I believe C is more accurate. As the flag is being hoisted, the scout must re-position his arms to continue pulling the rope known as a halliard. this means the flag will move, stop, and move again; repeating this pattern until it reaches the top of the pole. Although this is the case according to this diagram, the traditional method by which a scout raises a flag consists of two members of the color guard each alternating pulls to create a graph much closer to "A" the function I used to graph the arc of the basketball is f(x)= -.15x^2-.3x+2.1 from this I have determined the most likely occurrence is that the basketball will bounce off the backboard and into the hoop.
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Daniel CassavaughArchives
November 2015
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