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5.11 Part 2

Epic Design Team

Created on November 26, 2023

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Transcript

Characteristics of Polynomial Functions

  • Turning Points
    • The y-coordinate of a turning point is a local maximum of the function when the point is higher than all nearby points
    • The y-coordinate of a turning point is a local minimum of the function when the point is lower than all nearby points
    • The graph of every polynomial of degree n has at most n-1 turning points
    • If a polynomial of degree n has n distinct real zeros, then its graph has exactly n-1 turning points

Identifying Turning Points