1. MAT 150 – CLASS #20 Topics: Identify Graphs of Higher-Degree Polynomials Functions Graph Cubic and Quartic Functions Find Local Extrema and Absolute Extrema Modeling Cubic and Quartic Functions

2. HIGHER-DEGREE POLYNOMIAL FUNCTIONS HIGHER-DEGREE POLYNOMIALS FUNCTIONS WITH DEGREE ______________.

3. EXAMPLE OF HIGHER-DEGREE POLYNOMIAL

4. TWO IMPORTANT HIGHER-DEGREE POLYNOMIALS

5. KEY FEATURES OF HIGHER-DEGREE POLYNOMIALS IN GENERAL, THE GRAPH OF A POLYNOMIAL FUNCTION OF DEGREE N HAS _____________ N X-INTERCEPTS. LOCAL EXTREMA POINTS - ____________ON THESE GRAPHS LOCAL MINIMUM POINT- WHERE THE CURVE CHANGES FROM ________________________ LOCAL MAXIMUM POINT – WHERE THE CURVE CHANGES FROM _________________________ ABSOLUTE MAXIMUM POINT – THE ______________ON THE GRAPH OVER AN INTERVAL ABSOLUTE MINIMUM POINT – THE ______________ON THE GRAPH OVER AN INTERVAL

6. GRAPH

7. TYPES OF POLYNOMIALS Type of Function Degree Possible Graphs Positive Negative End Behavior Positive Leading Negative Leading Coefficient Degree Odd Or Even Linear Quadratic Cubic Quartic

8. MATCH THE FUNCTION TO THE GRAPH 1 2 34 5

9. GRAPH QUESTIONS USE THE GIVEN GRAPH TO GRAPH TO (a)ESTIMATE THE X-INTERCEPTS (b)TURNING POINTS (c)POSITIVE OR NEGATIVE COEFFICIENT (d)CUBIC OR QUARTIC

10. ASSIGNMENT PG. 424-429 #1-2 #5-8 ALL #11-16 ALL #33-34 #41, 44, 46