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The path of a roller coaster after it has reached the top of the first hill follows a polynomial function as shown in the graph below....

The path of a roller coaster after it has reached the top of the first hill follows a polynomial function as shown in the graph below class=

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The interval that f(x) is increasing is the distance from 200 to 300.
The minimum value of f(x) in the interval 0<x<300 is 200.
At a value of 500, the value of f(x) is 0.
The function can't be a quadratic function since there are two points in the graph where f(x) changes its rate from increasing to decreasing or the opposite. A quadratic function has only one of that point.
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The path of a roller coaster after it has reached the top of the first hill follows a polynomial function as shown in the graph below....

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