SOLUTION: how is the range of a polynomial related to the degree of the polynomial?

Question 1137101: how is the range of a polynomial related to the degree of the polynomial?
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!

The range of any polynomial of odd degree is all real numbers, because the end behavior for large positive and large negative values is in opposite directions.

For polynomials of even degree, the end behavior is in the same direction for both large positive and large negative values; that means the range of a polynomial of even degree will always have either a lower bound (if the leading coefficient is positive) or an upper bound (if the leading coefficient is negative).
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