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8-9.

Which of the following equations and graphs represent polynomial functions? For those that are not polynomials, explain why not. Review the Math Notes box in this lesson for information about polynomials.

  1. This is a polynomial.

  1. Increasing curved graph, opens up, left side is fairly level at, y = 8, after the y intercept at (0, comma 9), graph rises rapidly.

    This is not a polynomial.

  1. Increasing curved graph, opens down, begins at the point (0, comma 6), rising slowly & leveling off at approximately (12, comma 10).

  1. A curved continuous graph, with arrows at both ends, that rises from the bottom left, to the point, (negative 5, comma 0), then falls to the approximate point, (1, comma negative 525), then rises again, passing through the point (3, comma 0).

    This is a polynomial.

  1. Write an equation for a new function that is a polynomial and then write an equation for a new function that is not a polynomial.

    Look at parts (a) through (f) for examples.