Slide 1- 1 Sum, Difference, Product, and Quotient.

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Presentation transcript:

Slide 1- 1 Sum, Difference, Product, and Quotient

Date: 10/24/11- Section: 1.4 Objective: Combining functions algebraically and composite functions. Bell Ringer:. Find the zeroes for Homework Requests: pg 110 #48, 50; pg 127 #1-6 Homework: 10 week Review Sheet Announcements: No calculator sharing on tests. 10 week Exam 10/26 Wed.

Slide 1- 3 Bell Ringer A.Find the zeroes for B.Defining New Functions Algebraically (Composite Functions) Find the domain of the resulting functions

Slide 1- 4 Example Defining New Functions Algebraically

Chapter Review 10/25/2011 Obj: SWBAT demonstrate knowledge of skills learned and get questions answered about remaining skill gaps. Bell Ringer: – Fill out scantron: Name: Test No. Subject: PreCalc 10 Week Midterm Exam Date: 10/26/11 Period: Make sure to enter your ID number correctly! 1.Homework Requests – 10 Week Exam Review Sheet 2.In Class: Go over Quiz; pg 171 #1-21 odds HW: Study for Test; Read pg Due Thursday Announcements: 10 Week Exam 10/26.

10 Week Exam 10/26/2011 Obj: SWBAT demonstrate knowledge of skills learned and get questions answered about remaining skill gaps. HW: Read pg Due Thursday Announcements: 10 Week Exam 10/26.

Date: 10/27/11- Section: 1.4 Objective: Composite functions, Decomposition of functions and finding inverses. Bell Ringer: Homework Requests: pg 110 #48, 50; Homework: pg 128 #11-14, 15, 17, 19, 58, 59, 60 Read Ex. 5 pg 117 Announcements: No calculator sharing on tests.

Slide 1- 8 Example Composing Functions

Slide 1- 9 Example Decomposing Functions Reversing the process of composing functions Start with f(g(x)) and find its parts: f(x) and g(x)

Slide Example Decomposing Functions

Decompose Functions Find f(g(x))

Slide The Inverse Composition Rule A composite function has an inverse just like real numbers. For ex: Additive and multiplicative inverses. Inverses (Opposite operations)

Slide Example Verifying Inverse Functions

Slide Example Verifying Inverse Functions Pg 129 #57