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Birthday Polynomial

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PRESENTATION OUTLINE

BIRTHDAY POLYNOMIAL

x^5-x^4-8x^3-19x^2+9x+8

BIRTHDAY POLYNOMIAL

  • Birthday: 11/8/1998
  • Polynomial: x^5-x^4-8x^3-19x^2+9x+8
Photo by Will Clayton

Untitled Slide

  • Domain: All real numbers
  • Range: All real numbers
  • End behavior:
  • Goes towards negative infinity on the left
  • Goes towards positive infinity to the right
Photo by Aih.

Untitled Slide

  • Y-Intercept - (0,8)
  • Real Zeros - (-0.485,0), (0.768,0), (4.008,0)
  • Complex Zeros - (1.6455-2.043475i), (1.6455+2.043475i)
Photo by djwtwo

EXTREMA

  • Relative Minimum: (3.089,-191.1)
  • Relative Maximum: (0.209,8.977)
Photo by Will Montague

ZOOMED IN GRAPH (LEFT), FULL GRAPH RIGHT