Looking at my mathematical model, I think that the basketball will go in. It looks as if the ball will go right into the back of the hoop, without hitting it too hard causing it to bounce out.
First you find the slope of the line furthest to the left. Then, make an equation, which it's y=-2x+2. To find the semi-circle one, you have to know the equation y=square root of 4-x^2. Next is the equation for the half parabola. Which is y=(x-2)^2.
To find the inverse, I replaced the y's with the x's and the x's with the y's. I graphed y=x, then folded the paper on the dotted line. The two graphs were on top of each other. It would have been more exact if I could draw. Functions can have inverses that are also functions.
A skateboard was slid down a 21 inch ramp, a 14 inch ramp, and a 7 inch ramp. I had to predict what the graph would look like. Using the seconds and feet that the skateboard went. None of my prediction graphs are anywhere near the actual ones. On all of my graphs, the slope didn't rise as fast as the actual graphs. My initial reasoning was "slowly rise" because the skateboard's speed gradually got faster and slowed down. The zeros of my graph represent the domain and range. The last two graphs have their maximum, then decrease, but not to their minimums. The top graph(7 inch ramp graph), increases to the maximum at 43, then never decreases.
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AuthorI'm a Junior at SLHS. I play Varsity Softball, and Varsity Basketball. I also play travel softball for Mid-Michigan S.W.A.T. Archives
March 2015
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