7.1 and 7.2 Graphing Inequalities 7.3 Solving Equations Using Quadratic Techniques Algebra II w/ trig.

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Presentation transcript:

7.1 and 7.2 Graphing Inequalities 7.3 Solving Equations Using Quadratic Techniques Algebra II w/ trig

I. Vocabulary: A. Degree of a polynomial is the highest power of a polynomial. B. Leading coefficient is the number of the term with the highest degree.

C. State the degree and leading coefficient of each one variable polynomial. If it is not a polynomial in one variable, explain

II.Evaluate a Polynomial Function A. Find B. Find

C. Find D. Find

III. Graphs of Polynomial Functions A. Graphs of polynomial functions are continuous. B. Graphs of polynomial functions have only smooth turns. A function of degree n has at most n-1 turns. C.If the leading coefficient is positive, the right side of the graph rises. If it is negative, the right side of the graph falls. D.If the degree is even, the graph has the same end behavior on the left and right. If the degree is odd, the graph has opposite end behaviors on the left and right.

Degree: even Leading Coefficient: positive Degree: Odd Leading Coefficient: positive Degree: even Leading Coefficient: negative Degree: Odd Leading Coefficient: negative

E. Describe the end behavior, determine if odd or even degree and state the number of real zeros

Factor completely and then graph. 5.6.

7.8.

9.10.

7.3 Solving Equations Using Quadratic Techniques A. Solving Quadratics: 1. Factoring 2. Quadratic Formula 3. Square root method

Examples Solve each equation. 1.2.

3.4.

HOMEWORK pg 350 #16-38 even and all and 57 on page 352 page 356 # 13 – 25 odd (find the end behavior only) page 157 # 65 – 77 odd, 87 – 93 odd (worksheet) page 363 # 17 – 26 all, 29, 30, 39