Which of the following statements about a polynomial function is false?

1) A polynomial function of degree n has at most n turning points.

2) A polynomial function of degree n may have up to n distinct zeros.

3) A polynomial function of odd degree may have at least one zero.

4) A polynomial function of even degree may have no zeros.

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  1. #1 consider y=x^2

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  2. So a polynomial function has at most n-1 turning points, not n turning points?

    So that's why #1 is false?

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