### Create a StudySoup account

#### Be part of our community, it's free to join!

Already have a StudySoup account? Login here

# WeekThreeAlgebraNotes.pdf 20045

OSU

GPA 2.6

### View Full Document

## 27

## 0

## Popular in

## Popular in Department

This 6 page Reader was uploaded by Patrick Esguerra on Friday January 30, 2015. The Reader belongs to 20045 at Ohio State University taught by in Winter2015. Since its upload, it has received 27 views.

## Popular in Subject

## Reviews for WeekThreeAlgebraNotes.pdf

### What is Karma?

#### Karma is the currency of StudySoup.

#### You can buy or earn more Karma at anytime and redeem it for class notes, study guides, flashcards, and more!

Date Created: 01/30/15

1272015 Recitation Difference Quotient fx4X5 a b C d 23 fxh4x4h5 fXhfXh 4X4h54X5h 4hh H4 provided that hi0 Composition Given functions f and g f o gXfgX 3 If fXX2l and gXX2X find the following a fgXfXgXX21X2X2X2X1 13 fgXfXgXX21X2X X1 c f g 12f 12 g 12 122 1 122 12 12 Alternately Plug 12 into solution b 12 1 12 d fgXfXgXX2 lX2X X4X3 X2 X Careful fg fg fgifo g e f g h fgXfXgXX21X2XX1X1XX1 X 1X provided that X7 1 fg l2 12 l 12 32 12 32 213 f O gX fgXX2X21 X2XX2X1 X4X3X3X21 42X3X21X4X2 g 0 fXgfXX212X21X21X21X21 X4X2X21X21 X42X21X21 X4X2 i g0 f33432 81 972 Lecture 23 Given KX Xl 0 Find 2 non identity functions such that k f o g Fltxgt v00 gltxgtx1 Problems Find functions f amp g such that hXfgX 16 hX 23X53X522 0 Find non identitv functions f and g such that h f o g FXfgX o FX2XX22 o GX3X 5 o FgX23X53X522 25 Function 1 inputl output 0 Use the vertical line test to check if a graph is a function If the vertical line intercepts with the graph in more than two points for example if the graph resembles a heart then it s not a function 1 29 20 l 5 Recitation Chapter Two Review 0 Domains 0 Difference Quotients 0 Composition Domains If f is a function the domain of f is every possible inputwhichever X where fX makes sense 0 Example 1 X o fX X f4 V42 f100 10010 f0 00 f 1 1Undefined o DomainXZO o 2 fXlX l o FXlX l o F1lOUndefined 0 Domain X7 l00 oo 0000 21 12 gX V4x3 0 4X3ZO 0 4XZ 3 o XZ 34 0 Domain XZ 34 14 IXX5X2X6 O X2X6O O X3X 2O O X 3 X22 0 Domain X753 X 2 Difference Quotient Given fX fXh fXh 1302015 Lecture Straight lines have constant slopes o The slope of a straight line is called rise over run Slope Y239Y1X2X1 0 You can also get the slope with yi y2X1 X2 Example Find slope of line joining points l4 and 38 Slope 8 43 1441 Slope of horizontal line 0 OX Slope of vertical line Unde ned 000 Equations of straight lines given 2 points Example Xlyl and X2y2 Find slope my2 y1X2 X1 Pointslope Formula for a liney y1mX X1 Find equation of line through 13 and 85 Step One Find slope m538129 Step Two yylmXX1 If you use 13 as the point you have y329X1 O Y 3 29X29 o Y 29X293 o Y 29X299 YmXb is called the SlopeIntercept Form for a straight line Example Put this equation of a line in slopeintercept form 9X7y10 7y 9X 1 Y 97X17 Slope 97 yintercept 0 17 Parallel and Perpendicular Line Parallel lines have the same slope Example Find the equation of the line M parallel to given line L with equation 5X 2y80 and passing through the point 13 0 Step One Find the slope of given line L O 5X 2y80 O 5X822y2 O Y52X4 Slope of line L is 52 0 Step Two Use point slope form for finding equation of line M O y y1mX X1 O m52 X1y113 O Answery 352X 1 o Y 352X 52 o Y52X 523 o Y52X12 Perpendicular lines are lines that intersect so that they form a right angle Rule You get a perpendicular slope with the formula m1m21 I M21m1 Example Find equation of line N perpendicular to L through the point 17 Equation of line L is y52X4 Slope of line L is 52 So slope of line N is l52 25 Equation of line L is y 7 25X l SlopeIntercept Form y 25X375

### BOOM! Enjoy Your Free Notes!

We've added these Notes to your profile, click here to view them now.

### You're already Subscribed!

Looks like you've already subscribed to StudySoup, you won't need to purchase another subscription to get this material. To access this material simply click 'View Full Document'

## Why people love StudySoup

#### "Knowing I can count on the Elite Notetaker in my class allows me to focus on what the professor is saying instead of just scribbling notes the whole time and falling behind."

#### "When you're taking detailed notes and trying to help everyone else out in the class, it really helps you learn and understand the material...plus I made $280 on my first study guide!"

#### "I was shooting for a perfect 4.0 GPA this semester. Having StudySoup as a study aid was critical to helping me achieve my goal...and I nailed it!"

#### "It's a great way for students to improve their educational experience and it seemed like a product that everybody wants, so all the people participating are winning."

### Refund Policy

#### STUDYSOUP CANCELLATION POLICY

All subscriptions to StudySoup are paid in full at the time of subscribing. To change your credit card information or to cancel your subscription, go to "Edit Settings". All credit card information will be available there. If you should decide to cancel your subscription, it will continue to be valid until the next payment period, as all payments for the current period were made in advance. For special circumstances, please email support@studysoup.com

#### STUDYSOUP REFUND POLICY

StudySoup has more than 1 million course-specific study resources to help students study smarter. If you’re having trouble finding what you’re looking for, our customer support team can help you find what you need! Feel free to contact them here: support@studysoup.com

Recurring Subscriptions: If you have canceled your recurring subscription on the day of renewal and have not downloaded any documents, you may request a refund by submitting an email to support@studysoup.com

Satisfaction Guarantee: If you’re not satisfied with your subscription, you can contact us for further help. Contact must be made within 3 business days of your subscription purchase and your refund request will be subject for review.

Please Note: Refunds can never be provided more than 30 days after the initial purchase date regardless of your activity on the site.