Warm-Up 2/20 1. D. Rigor: You will learn how to analyze and graph equations of polynomial functions. Relevance: You will be able to use graphs and equations.

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Presentation transcript:

Warm-Up 2/20 1. D

Rigor: You will learn how to analyze and graph equations of polynomial functions. Relevance: You will be able to use graphs and equations of polynomial functions to solve real world problems.

2-2 Polynomial Functions

Example 1: Graph each function.

Example 2: Describe the end behavior. Degree is 4. Leading Coefficient is 3. Degree is 7. Leading Coefficient is – 2. Degree is 3. Leading Coefficient is 1.

Degree is 3. f has at most 3 distinct real zeros. f has at most 2 turning points. f has real zeros at x = 0, 2, and 3.

Degree is 4. g has at most 4 distinct real zeros. g has at most 3 turning points. g has real zeros at x = – 2 and 2.

Degree is 4. h has at most 4 distinct real zeros. h has at most 3 turning points. h has real zeros at x = 0, 1 and –2. The zero at 0 has a multiplicity of 2.

Example 6: a. Degree is 4. f has at most 4 distinct real zeros and at most 3 turning points. c. d.

math! 2-2 Assignment: TX p104, 4-40 EOE