Pre-Calculus Rational Functions. Simple Rational Functions Appears in the following format: Has 2 asymptotes: – x=h (vertical) – y=k (horizontal) In order.

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Presentation transcript:

Pre-Calculus Rational Functions

Simple Rational Functions Appears in the following format: Has 2 asymptotes: – x=h (vertical) – y=k (horizontal) In order to graph: – Draw the lines for the asymptotes. – Select two points on each side of every asymptote, plug into your x/y chart and graph.

Simple Rational Function Practice Determine all of the asymptotes for each graph:

Simple Rational Function Practice Determine all of the asymptotes AND graph:

Need Mo Practice? Of course you do fool! In groups, complete #1-4 on pg. 32 of your workbook.

Complex Rational Functions Appears in the following format: In order to graph: – Draw the lines for the asymptotes. – Select two points on each side of every asymptote, plug into your x/y chart and graph. Asymptotes/Quirks: – Can have multiple vertical asymptotes. – Can have multiple horizontal asymptotes horizontal asymptotes. – Might have holes.

Complex Rational Functions Appears in the following format: Asymptotes/Quirks: – Can have multiple vertical asymptotes. How to Determine VA’s 1.Factor the numerator and denominator. 2.Determine what values would make the denominator equal to 0.

Vertical Asymptote Practice

Complex Rational Functions Appears in the following format: Asymptotes/Quirks: – Can have multiple horizontal asymptotes horizontal asymptotes. How to Determine HA’s 1.Look at the degrees of the numerator and the denominator. 2.Follow and memorize the guide on the next slide.

Horizontal Asymptote Guide

Horizontal Asymptote Practice

Complex Rational Functions Appears in the following format: Asymptotes/Quirks: – Might have holes. How to Find Holes 1.Factor the numerator and denominator. 2.If there is a common factor in the numerator and the denominator, set it equal to zero. Solve and the value you find is the x-coordinate of the location your hole occurs at.

Diggin’ Holes Practice

Putting it All Together Appears in the following format: In order to graph: – Draw the lines for the asymptotes. – Select two points on each side of every asymptote, plug into your x/y chart and graph. – Determine if there are holes and graph them accordingly.

Graphing Practice

Homework – Night #1 Complete Pg in your workbook #1-7. – Please find: Vertical Asymptotes Horizontal Asymptotes Holes

Homework – Night #2 – Period 4 Complete your assigned problem on Pg #1#2#3#4#5#6 AJAndresBenGregArianBang BriChristianTonyAndrewLlorenPreston HunterHeatherSavannahColleenGabbiDom ShaneRyanJessieZachIanJuan TomConnorDustin

Homework – Night #2 – Period 7 Complete your assigned problem on Pg #1#2#3#4#5#6 AlexisAspenAlexaDJDrakeZach C. FernandaJakeJ.ShawOliviaBobbyJessica Megan H.Megan C.MiguelDrewPrincessWahida SamZach Z.ConnorKaylaNickMike SarahAlyssa

CAROUSEL Pre-Calculus

Homework – Night #3 Select 5 problems to complete for each of the following pages: – Pg. #32-33 – Pg. #34-35