5-Minute Check Lesson 4-1.

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Presentation transcript:

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 their exponents and degree of a function relate to its graph? VOCABULARY Polynomial function Degree Lead coefficient Zeros Imaginary numbers Complex numbers

Degree of a polynomial - Roots or zeros of a polynomial -

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 ______

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.