today: chapter 9 (inverse functions) office hours: today 3 ...nichifor/120_2012...today: chapter 9...

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Today: Chapter 9 (Inverse Functions) Office hours: today 3-4PM + tomorrow 3-4PM in PDL C-326 To do: Chapter 8 is due Thursday night, Ch 9 on Tuesday. Chapter 8 Q&A Discuss midterm Maybe midterm return (if done grading & recording). Thursday's quiz section: http://www.math.washington.edu/~nichifor/120A2012.htm Good Morning! Wednesday, October 24, 2012 Lecture 14 Page 1

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Page 1: Today: Chapter 9 (Inverse Functions) Office hours: today 3 ...nichifor/120_2012...Today: Chapter 9 (Inverse Functions) Office hours: today 3-4PM + tomorrow 3-4PM in PDL C-326 To do:

Today: Chapter 9 (Inverse Functions)

Office hours: today 3-4PM + tomorrow 3-4PM in PDL C-326

To do: Chapter 8 is due Thursday night, Ch 9 on Tuesday.

Chapter 8 Q&A○

Discuss midterm○

Maybe midterm return (if done grading & recording). ○

Thursday's quiz section:

http://www.math.washington.edu/~nichifor/120A2012.htm

Good Morning!Wednesday, October 24, 2012

Lecture 14 Page 1

Page 2: Today: Chapter 9 (Inverse Functions) Office hours: today 3 ...nichifor/120_2012...Today: Chapter 9 (Inverse Functions) Office hours: today 3-4PM + tomorrow 3-4PM in PDL C-326 To do:

Suppose you have a function y = f(x) such that the domain of f(x) is 2 ≤ x ≤ 7and the range of f(x) is −10 ≤ y ≤ 50.

Find constants B and C so that the domain of f(B(x − C)) is 8 ≤ x ≤ 9.a)Find constants A and D so that the range of Af(x) + D is 0≤ y ≤ 2.b)

Question similar to Ch 8 #6 (or textbook 8.8)

Lecture 14 Page 2

Page 3: Today: Chapter 9 (Inverse Functions) Office hours: today 3 ...nichifor/120_2012...Today: Chapter 9 (Inverse Functions) Office hours: today 3-4PM + tomorrow 3-4PM in PDL C-326 To do:

Lecture 14 Page 3

Page 4: Today: Chapter 9 (Inverse Functions) Office hours: today 3 ...nichifor/120_2012...Today: Chapter 9 (Inverse Functions) Office hours: today 3-4PM + tomorrow 3-4PM in PDL C-326 To do:

Recall: A FUNCTION f(x) is a rule that maps each element in the domain D to one and only one element in the range R.

Ch 9: Inverse Function

Lecture 14 Page 4

Page 5: Today: Chapter 9 (Inverse Functions) Office hours: today 3 ...nichifor/120_2012...Today: Chapter 9 (Inverse Functions) Office hours: today 3-4PM + tomorrow 3-4PM in PDL C-326 To do:

Lecture 14 Page 5

Page 6: Today: Chapter 9 (Inverse Functions) Office hours: today 3 ...nichifor/120_2012...Today: Chapter 9 (Inverse Functions) Office hours: today 3-4PM + tomorrow 3-4PM in PDL C-326 To do:

Lecture 14 Page 6

Page 7: Today: Chapter 9 (Inverse Functions) Office hours: today 3 ...nichifor/120_2012...Today: Chapter 9 (Inverse Functions) Office hours: today 3-4PM + tomorrow 3-4PM in PDL C-326 To do:

Lecture 14 Page 7