Topic 5 Objectives After completing the topic Polynomial functions, students will be able to understand the relationship between the degree of a polynomial.

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Presentation transcript:

Topic 5 Objectives After completing the topic Polynomial functions, students will be able to understand the relationship between the degree of a polynomial and the number of real zeros it has, as detailed in the Fundamental Theorem of Algebra and related theorems; understand the relationship between the degree of a polynomial function and the number of local extreme values of the function; describe the end behavior of polynomials of odd and even degree.

Topic 5 Vocabulary (due next Friday) periodic function, degree of a polynomial, absolute or global maximum or minimum, local maximum or minimum, interval notation, long-term or end behavior, zeros of a function

Evaluate the following functions Find f(-2) for each of the following function of each function and describe the end behavior. Ex1: Ex2: Ex3:

Drill Find f(-1) and f(3) for each of the following function of each function and describe the end behavior complete Activity Sheet #2, #8

Drill Find f(-1) and f(2) for each of the following function of each function and describe the end behavior

Drill Solve each equation using the quadratic formula

Drill Identify the equations of the following functions. 1. Quartic Function with zeros at -3, 0, 1, and 2 2. Sixth degree with 4 real zeros 3. Cubic polynomial with and a y-intercept of Quadratic function with no real zeros