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5-Minute Check Lesson 4-1

5-Minute Check Lesson 4-1. 5-Minute Check Lesson 4-1. 5-Minute Check Lesson 4-1. 5-Minute Check Lesson 4-1. 4 -1 : Polynomial Functions. LESSON ESSENTIAL QUESTIONS How do we determine the roots of polynomial equations? How do they exponents and degree of a function relate to its graph?.

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5-Minute Check Lesson 4-1

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  1. 5-Minute Check Lesson 4-1

  2. 5-Minute Check Lesson 4-1

  3. 5-Minute Check Lesson 4-1

  4. 5-Minute Check Lesson 4-1

  5. 4 -1 : Polynomial Functions LESSON ESSENTIAL QUESTIONS • How do we determine the roots of polynomial equations? • How do they exponents and degree of a function relate to its graph?

  6. Families of Graphs On multi-block paper, sketch the following “parent” functions which serve as common end behavior models:

  7. On Pg 207 in your book

  8. Degree of a polynomial - • Roots or zeros of a polynomial -

  9. Polynomial Functions • For a quadratic function, what is the maximum number of: x-intercepts/zeros _____ turning points _____ • For a cubic function, what is the maximum number of: x-intercepts/zeros ______ turning points ______

  10. Degrees of Polynomials For any polynomial function, the following apply: • Maximum # turning points = (DEGREE - 1) • Maximum # of roots (x-intercepts) = (DEGREE) For each polynomial, identify the max. number of roots and turning points and sketch a model: Now use your graphing calculator to find the roots and turning points.

  11. Homework • Pg 210 # 10-18E, 29-31A, 40-44E, 52-54A

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