What type of function is represented in the table? x 0 1 2 3 4 5 y negative 1 0 negative 3 negative 10 negative 21 negative 36

Find the differences between consecutive y-values: 1, −3, −7, −11, and −15. The differences between those values are all −4, so the second differences are constant. A constant second difference indicates a quadratic function, so the answer is quadratic.

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