×

Let's log you in.

or

Don't have a StudySoup account? Create one here!

×

or

Week 10 Notes

1 review
by: Thomas Frerks

14

1

6

Week 10 Notes 126B

Thomas Frerks
WVU
College Algebra 4-Day
***** *****STAFF***** (P)

These notes were just uploaded, and will be ready to view shortly.

Either way, we'll remind you when they're ready :)

Get a free preview of these Notes, just enter your email below.

×
Unlock Preview

This is Week 10 of 126B Math notes. This explores the ideas of Rational Functions and Asymptotes
COURSE
College Algebra 4-Day
PROF.
***** *****STAFF***** (P)
TYPE
Class Notes
PAGES
6
WORDS
CONCEPTS
126B
KARMA
25 ?

1

1 review
"I had to miss class because of a doctors appointment and these notes were a LIFESAVER"
Christina Turcotte

Popular in Mathematics (M)

This 6 page Class Notes was uploaded by Thomas Frerks on Monday October 26, 2015. The Class Notes belongs to 126B at West Virginia University taught by ***** *****STAFF***** (P) in Fall 2015. Since its upload, it has received 14 views. For similar materials see College Algebra 4-Day in Mathematics (M) at West Virginia University.

×

Reviews for Week 10 Notes

I had to miss class because of a doctors appointment and these notes were a LIFESAVER

-Christina Turcotte

×

×

What is Karma?

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

Date Created: 10/26/15
Unit 4 Rational Functions and Exponential Functions Section 15 I Basics of Rational Functions 0 De nition A Etional function is a ratio of two where the ma f YpQ m 39 Z is nonzero In other words a rational ftmction is a function of the form x Rx Q Ci where X and ZCX are polynomials with nonzero Examples Write some examples of rational Functions 6 00 in f ltXSfX lffx y C K 0041 x39 0 Example Look at the examples you wrote above What are the domains of these functions I XXi 0H 5 0 3 XX 0 xf 4 r M 0 Example Let Rx What is the domain of Rx39 0 gt6 I X 02 WW km 2 x 93100 x4 X t Jarxzat 0 De nition A rational tnction is groper if 0f I74 Unit 4 Rational Functions and Exponential Functions Section I 5 2 Vertical Asyngptotes of Rational Functions 0 Example Consider the reciprocal function Rx 1 Make a chart of x the values of Rx for xvalues 2 1 12 U3 U4 and 15 Next make a chart of the values of Rx for xvalues 2 1 12 1X3 l4 and 15 x x Rx x Rx X 2 101 2 72 1 1 1 1 12 01 42 32 13 3 13 a 14 L7 14 L US 5 l5 5 0 00 oo 0 0 Example What is happening to the values of Rx as values of x get closer and closer to zero 71c 55 c339 r end layff in mafmyvce 0 Example For Rx 1 as the xvalues approach 0 the y values I 2 If a tiger bccomc U jot ea C 2 gavecquot A t M r MCI 0 De nition A rational function Rx has a vertical asymptote at x r if as the xvalues approach f the yvalues become Maison64 I r quot 00 W 00 176 Unit 4 Rational Functions and Exponential Functions 0 Other examgles and nores X 1 X Wow xii204 xw H U d 0 I 3 XX JXJ 9 X 393 quot l tht r a afw bfc39r XampX j R my Uri Um X27 X I 3912 5 Afry YI armJoz e 178 Unit 4 Rational Functions and Exponential Functions 0 Example Can the graph of a rational mction intersect its horizontal asymptote 0 Example How many horizontal asymptotes can a rational function have 37 Glee5 Come None Or one E c UI Of 0 Example Write some examples of rational functions that have horizontal asymptotcs 39 1 JX rm 2 I Am 1 a 509 4 X 93 WW1 405 7 YJZO 530 gal o g nition If an asymptote is neither vertical nor horizontal it is called 0 05 Age or s f nCC Oblique asymptotes also have to do with the e 94 b66tamp439Q of a function 0 What is an example of a function with an oblique asymptote L 1 Lon A00 5 x V V X 73 Dev3km xhx w Example Can a graph intersect its oblique asymptote 180 Unit 4 Rational Functions and Exponential I unctions 3 The degree of px is one more than the degree of qx 2 an 2 X X3 agree 2 39 dwzr ran f f X 1 1 6 ay66 av l rm m 6 j z X Ski x fox fox J DA ve J7lt 3 bx 26 fx H e I i ri e 4 The degree of px is greater than the degree of qx by two or more M Aari39zmG 0r 0 de 2 00 051 x 06369 5 L1 X J Loaf AzJ a 7 ne 50 10 hanW 0r a rque asympoj 0 coating Horizontal and Obligue Asymptotgs Let Q px auxquot am a and qx bmxm l but bf be two nonzero polynomials Fill in this chart about nding the Pix horizontal or oblique asymptotcs of the rational function Rx q x 182 Unit 4 Rational Functions and Exponentian Functions 0 39xample Find the horizontal or oblique asymptotes if any of the graph of 4x 1m 2x 1 21 Del 1 39 0 AOrI Zma 0 Example Find the horizontal or oblique asymptotcs if any of the graph 58 4x 1 l 738 2x I 5 iii ef Dot 9A 77 Awnam al 0 Example Find the horizontal or oblique asymptotes if any of the graph of2x3 5x24x lx22x l 051409 c X9 l X Xjfxlcfy aiiii if 9x x 4 ampx iZOLX Q 051406 l 184

×

25 Karma

×

×

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

Bentley McCaw University of Florida

"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!"

Janice Dongeun University of Washington

"I used the money I made selling my notes & study guides to pay for spring break in Olympia, Washington...which was Sweet!"

Jim McGreen Ohio University

Forbes

"Their 'Elite Notetakers' are making over \$1,200/month in sales by creating high quality content that helps their classmates in a time of need."

Become an Elite Notetaker and start selling your notes online!
×

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