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Warm Up

Warm Up. Give the degree of each polynomial. Homework. Questions/Review. 1. True or False. is a polynomial function. iRespond Question. Multiple Choice. F. A8B03745-02BF-5945-9772-D3ABFBA0219E. A.) True. B.) False. C.). D.). E.).

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Warm Up

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  1. Warm Up • Give the degree of each polynomial

  2. Homework Questions/Review

  3. 1. True or False. is a polynomial function. iRespond Question Multiple Choice F A8B03745-02BF-5945-9772-D3ABFBA0219E A.) True B.) False C.) D.) E.)

  4. 2. True or False. is a polynomial function iRespond Question Multiple Choice F BB94F3E1-4EE1-0C43-A2AB-00E726C5C719 A.) True B.) False C.) D.) E.)

  5. 3.The leading degree of is ___________. iRespond Question Fill-In F 9F51B2D3-CE8C-0D4D-A921-2AEDF0598050 A.) 4;four; B.) C.) D.) E.)

  6. 4.Which of the following would be the 2nd term if this polynomial was in standard form? iRespond Question Multiple Choice F F895BA56-1492-1A4D-9C91-706CFC9498B0 A.) -7 B.) 2x C.) -6x D.) 4x E.)

  7. 5. Evaluate the polynomial using synthetic division or direct substitution. iRespond Question Fill-In F 1AF1AC5B-347C-7E42-BCFF-B462528C91F5 A.) -99;; B.) C.) D.) E.)

  8. Polynomial Functions End Behavior

  9. An example of a polynomial function… f(x) = 6x4 + x3 – 21x2 – 15x + 36 Leading coefficient Degree (highest exponent) (in front)

  10. More keys to sketching a graph of a polynomial are: f(x) = 6x4 + x3 – 12 Leading coefficient Degree (highest exponent) (in front when in standard form!) Is it an even or odd number? (not in the sense of symmetry though. To find even/odd symmetry you have to plug in –x) Is it positive or negative?

  11. Multiplicity of Real Zeros (how many times will it cross the x-axis): f(x) = 6x4 + x3 – 12 Degree (highest exponent) This will determine how many times it will cross the x-axis NOTE: sometimes it crosses the same number more then once

  12. End Behavior Exploration • Form a group with the people sitting near you. • Complete the WS together EXCEPT letters A-D

  13. End Behavior degree • If the __________ is even and the leading coefficient is _________, then positive degree B. If the __________ is even and the leading coefficient is _________, then negative

  14. End Behavior degree C. If the __________ is odd and the leading coefficient is _________, then positive degree D. If the __________ is odd and the leading coefficient is _________, then negative

  15. Describe the end behavior!

  16. Tell me what you know about the equation… Odd exponent Positive leading coefficient

  17. Tell me what you know about the equation… Even exponent Positive leading coefficient

  18. Tell me what you know about the equation… Odd exponent Positive leading coefficient

  19. Tell me what you know about the equation… Even exponent Negative leading coefficient

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