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146 week 4..notebook February 08, 2017 Agenda: Lecture: Rational Functions Examples: Rational Functions Groupwork Review: Week 3 Lecture Rational Functions

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Page 1: Lecture Rational Functions - MCCCporterr/course/146/documents/146week4...pdf · Lecture: Rational Functions Examples: Rational Functions Groupwork Review: Week 3 Lecture Rational

146 week 4..notebook February 08, 2017

Agenda:

Lecture: Rational Functions

Examples: Rational Functions

Groupwork

Review: Week 3

Lecture Rational Functions

146 week 4..notebook February 08, 2017

Page 3: Lecture Rational Functions - MCCCporterr/course/146/documents/146week4...pdf · Lecture: Rational Functions Examples: Rational Functions Groupwork Review: Week 3 Lecture Rational

146 week 4..notebook February 08, 2017

Page 4: Lecture Rational Functions - MCCCporterr/course/146/documents/146week4...pdf · Lecture: Rational Functions Examples: Rational Functions Groupwork Review: Week 3 Lecture Rational

146 week 4..notebook February 08, 2017

start at y=3cant go down no xint

vertical asymp is heartbeart

zero (bounce)

heartbeat

horizontal asymptote

Page 5: Lecture Rational Functions - MCCCporterr/course/146/documents/146week4...pdf · Lecture: Rational Functions Examples: Rational Functions Groupwork Review: Week 3 Lecture Rational

146 week 4..notebook February 08, 2017

Page 6: Lecture Rational Functions - MCCCporterr/course/146/documents/146week4...pdf · Lecture: Rational Functions Examples: Rational Functions Groupwork Review: Week 3 Lecture Rational

146 week 4..notebook February 08, 2017

Examples Rational Fucntions

Page 7: Lecture Rational Functions - MCCCporterr/course/146/documents/146week4...pdf · Lecture: Rational Functions Examples: Rational Functions Groupwork Review: Week 3 Lecture Rational

146 week 4..notebook February 08, 2017

Rational Inequalities

Page 8: Lecture Rational Functions - MCCCporterr/course/146/documents/146week4...pdf · Lecture: Rational Functions Examples: Rational Functions Groupwork Review: Week 3 Lecture Rational

146 week 4..notebook February 08, 2017

Page 9: Lecture Rational Functions - MCCCporterr/course/146/documents/146week4...pdf · Lecture: Rational Functions Examples: Rational Functions Groupwork Review: Week 3 Lecture Rational

146 week 4..notebook February 08, 2017

Page 10: Lecture Rational Functions - MCCCporterr/course/146/documents/146week4...pdf · Lecture: Rational Functions Examples: Rational Functions Groupwork Review: Week 3 Lecture Rational

146 week 4..notebook February 08, 2017

Page 11: Lecture Rational Functions - MCCCporterr/course/146/documents/146week4...pdf · Lecture: Rational Functions Examples: Rational Functions Groupwork Review: Week 3 Lecture Rational

146 week 4..notebook February 08, 2017

Project: Intersection Method

Page 12: Lecture Rational Functions - MCCCporterr/course/146/documents/146week4...pdf · Lecture: Rational Functions Examples: Rational Functions Groupwork Review: Week 3 Lecture Rational

146 week 4..notebook February 08, 2017

Page 13: Lecture Rational Functions - MCCCporterr/course/146/documents/146week4...pdf · Lecture: Rational Functions Examples: Rational Functions Groupwork Review: Week 3 Lecture Rational

146 week 4..notebook February 08, 2017

Page 14: Lecture Rational Functions - MCCCporterr/course/146/documents/146week4...pdf · Lecture: Rational Functions Examples: Rational Functions Groupwork Review: Week 3 Lecture Rational

146 week 4..notebook February 08, 2017

Review Week 3

Page 15: Lecture Rational Functions - MCCCporterr/course/146/documents/146week4...pdf · Lecture: Rational Functions Examples: Rational Functions Groupwork Review: Week 3 Lecture Rational

146 week 4..notebook February 08, 2017

Page 16: Lecture Rational Functions - MCCCporterr/course/146/documents/146week4...pdf · Lecture: Rational Functions Examples: Rational Functions Groupwork Review: Week 3 Lecture Rational

146 week 4..notebook February 08, 2017

Vertical Asymptotes come from the zeros of the denominator

Horizontal Asymptotes come from the degrees and leading coefficients

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