September 21, 2007 Class Notes

September 21, 2007
*We went over homework*
*NOTE: Timeliness has been added to the blog rubric and a link to WIKI has been added to the page to access handouts*

-Absolute Value Inequalities
Equations: x=# x=(+#) or (-#)
Case 1
x># x>(+#) or x<(-#) EX: x>2
x>2 or x<-2 Case 2
x<# x<(+#) or x>(-#)
EX: x<2>-2

*And vs Or*
Less than--->and
-less thand
Greater than--->or
-Greator than

Application
3x-2 ≤ 1
3x-2 ≤ 1 3x-2 ≥1
x ≤ 1 and x ≥ 1/3

-Interval Notation
-Third way to depict inequality answers
-Easier way/less time consuming
[ ] ----≤ ≥

( ) ----< >
EX: 3x-2≤1 [1/3, 1]
EX: x >2 (∞, -2)∪(2, ∞)

·means union to connect two sets together

-Inequalities by Calculator
EX: (x+3)/(x-2)> 0 *Enter left side in Y1
*Start with standard window
* Answers above the x axis
* ( -∞,1) ∪(2,∞)

*Homework quizzes returned*Use homework quizzes to show your areas of weakness and to gauge where you are in understanding*

-Functions –“last thing before we jump into trig waters”-Mr. M
*Operations and functions
-arithmetic EX: f(x)=x2-4
f(x)+g(x) g(x)=x+3
f(x)-g(x) (f+g)(x)=f(x)+g(x)
f(x) (f+g)(x)=x^2-4+x+3
-composition = x^2+x-1
(fog)(x)
*cont’d on Tuesday, September 25th*
*Homework: Pg 168 #29-59/odd, 63, 65, Pg 179 #1-9/odd*

*Alright hope everyones weekend went well, see ya'll tomorrow!*

-Lauren