PreCalculus

Chapter 7 Rational Functions
Unit 7-1 Unit 7-2 Unit 7-3 Unit 7-4 Unit 7-5
Unit 7-1 Zeros, Vertical Asymptotes, and POEs Agenda
  1. Three Unique Points in a Rational Function
    • Zeros - where only the numerator is zero
    • Vertical Asymptotes (VA) - where only the denominator is zero
    • Points of Exclusion (POE) - where both are zero
  2. Assignment 7-1: Pg 360 #1-5, 8, 11
Unit 7-2 End Behavior: Horizontal and Slant Asymptotes Agenda
  1. Limits as x approaches ±
  2. Asymptotes
    • Horizontal at 0
    • Horizontal at a line other than 0
    • Slant Asymptotes
  3. Assignment 7-2: Pg 373 #1-4, 7-14, 16-22
Unit 7-3 Derivatives: The Quotient Rule Agenda
  1. The Quotient Rule
  2. Sign Patterns of Rational Function Derivatives
  3. Finding Critical Points and Extreme Values Using the Quotient Rule
  4. Assignment 7-3: Part A Pg 382 #1-6 Part B Pg. 382 #10-11, 13, 14, 16, & 18
Unit 7-4 Sign Patterns and Rational Functions Agenda
  1. Review of Sign Patterns
  2. Denoting zeros, POE's, and vertical asymptotes on a number line
  3. Applying Sign Patterns to Rational Function Graphs
  4. Assignment 7-4: Part A Pg 390 #1-5 Part B #6-10
Unit 7-5 General Rational Curve Sketching Agenda
  1. Review of Sign Patterns
  2. Denoting zeros, POE's, and vertical asymptotes on a number line
  3. Applying Sign Patterns to Rational Function Graphs
  4. Assignment 7-5: Pg. 407 # 1, 2, 3, 5, 6, 8, 13, 15, 17