1 4 Relating Polynomial Functions and Equations BRING

1. 4 Relating Polynomial Functions and Equations BRING YOUR GRAPHING CALCULATOR Monday, February 25, 2013

Agenda • Attendance • Website • Homework Check • 1. 4 Relating Polynomial Functions and Equations • Announcements

mrlau. yolasite. com

Math 12 Winter Holiday Homework 高三数学寒假作� Definition Example, Equation, Symbol, or Picture Polynomial A term or many terms connected together by + and/or - 2 x^3 + 4 x^2 - 5 Binomial A polynomial with two terms 3 x + 1 Word Chapter 1 Do this for all the New Vocabularies at the beginning of all 8 Chapters. Make sure you put your name on your assignment. Due date: February 25, 2013

Review of Polynomial Functions Odd degree function -f(x) = f(-x) Even degree function f(x) = f(-x)

Review of Polynomial Functions Linear Function Degree: 1 Odd degree function

Review of Polynomial Functions Quadratic Function Degree: 2 Even degree function

Review of Polynomial Functions Cubic Function Degree: 3 Odd degree function

Review of Polynomial Functions Quartic Function Degree: 4 Even degree function

Review of Polynomial Functions Quintic Function Degree: 5 Odd degree function

Review of Polynomial Functions How do you determine the degree of a Polynomial Function?

Local Maximum Point • A point where the graph changes from increasing to decreasing • The y-value of this point is greater than those of neighboring points

Local Minimum Point • A point where the graph changes from decreasing to increasing • The y-value of this point is less than those of neighboring points

Polynomial Function vs Polynomial Equation What's the difference between a Polynomial Function and a Polynomial Equation?

Polynomial Function vs Polynomial Equation • The solution to a Polynomial Equation is called a Root • A Polynomial Equation may have a repeated root • Example 1 x^2 - 2 x + 1 = 0

Polynomial Function vs Polynomial Equation • The solution to a Polynomial Equation is called a Root • A Polynomial Equation may have a repeated root • Example 2 (x - 1)^3=0

Check your understanding (p. 45)

Announcements • Work on the Homework Exercises • Tomorrow: • Quiz on 1. 4 Relating Polynomial Functions and Equations • 1. 5 Modelling and Solving Problems with Polynomial Functions