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

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

7. 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 ______

8. 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.