Graphing Polynomial Functions

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Graphing Polynomial Functions

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  1. Graphing Polynomial Functions

    Slide 1 - Graphing Polynomial Functions

  2. Polynomial Function

    Slide 2 - Polynomial Function

    • Polynomial Name
    • Degree
    • Solutions
    • (Highest Power)
    • Turning Points
    • (max #)
    • Shape
    • y = x
    • Linear
    • 1
    • 0,1
    • 0
    • y = x2
    • Quadratic
    • 2
    • 0,1,2
    • 1
    • y = x3
    • Cubic
    • 3
    • 0,1,2,3
    • 2
    • y = x4
    • Quartic
    • 4
    • 0,1,2,3,4
    • 3
    • y = xn
    • Polynomial
    • n
    • 0,…,n
    • n-1
    • d
  3. End Behavior

    Slide 3 - End Behavior

    • Odd:
    • Even:
    • opposite
    • same
    • End Behavior
    • Odd:
    • Even:
    • opposite
    • same
  4. Zeros:

    Slide 4 - Zeros:

    • ___
    • ___
    • ___
    • ___
    • ___
    • ___
    • 5
    • -3
    • 4
    • 12
    • -10
    • 0
    • Parity: Odd
    • Turning Points: 6
    • Multiplicity:
    • 1
    • 2
    • 3
    • 1
    • 1
    • 1
  5. Zeros:

    Slide 5 - Zeros:

    • ___
    • ___
    • ___
    • ___
    • -3
    • 5
    • -7
    • 8
    • Parity: Even
    • Turning Points: 5
    • Multiplicity:
    • 2
    • 2
    • 1
    • 3
  6. Zeros:

    Slide 6 - Zeros:

    • ___
    • ___
    • ___
    • ___
    • -9
    • -5
    • -3
    • 2
    • ___
    • 6
    • ___
    • 8
    • Parity: Odd
    • d
    • d
    • d
    • d
    • d
    • d
    • d
    • d
    • d
    • d
    • d
  7. Try this!!!!!!!!!!;););););)WOWWHEE!

    Slide 7 - Try this!!!!!!!!!!;););););)WOWWHEE!

    • Graph and find:
    • Lead Coefficient
    • Degree of Polynomial
    • End Behavior
    • Number of Real Zeros
    • Zeros and their Multiplicities
    • Number of Turning Points
    • Y-Intercept