Lesson 2.2 Read: Pages 116-126 Page 112: #1-9 (EOO), 15-43 (EOO), 59-75 (EOO)

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Lesson 2.2 Read: Pages Page 112: #1-9 (EOO), (EOO), (EOO)

Polynomial Functions of Higher Degree Objective Students will use transformations to sketch and analyze graphs of polynomial functions, use the Leading Coefficient Test to determine end behavior, and find and use zeros of polynomial functions as sketching aids.

Characteristics and Graphs of Polynomial Functions

Graph the Following

Use the Leading Coefficient Test to describe the right-hand and left-hand behavior of each polynomial function.

If f is a polynomial function and a is a real number, the following statements are equivalent. 1)x = a is a zero of the function f 2) x = a is a solution of the polynomial equation f(x) = 0 3) (x − a) is a factor of the polynomial f(x) 4) (a, 0) is an x-intercept of the graph of f Zeros of Polynomial Functions A Polynomial f of degree n has at most: 1.n real zeros. 2.n-1 relative minima and maxima.

Repeated Zeros

Find polynomial functions with the following zeros. (There are many correct solutions.)