PreCalculus

Chapter 6

Unit 6-1 Unit 6-2 Unit 6-3 Unit 6-4
Unit 6-1 Extreme Values of Functions Agenda
  1. Using the Derivative to find Critical Points
    • When the derivative is 0
    • Interpreting the sign patterns of the derivative
    • When is a function increasing/decreasing?
  2. Extreme Values
  3. Using the Extreme Values to find the Range of a Polynomial
  4. Assignment 6-1: Part A Pg 298 #1-11 Part B #12-14
Unit 6-2 Agenda
  1. Use Sign Patterns to Distinguish Minima from Maxima
  2. Absolute versus Relative Extreme Points
    • Using the y value to distinguish Absolute from Relative Extremes
    • Check the Endpoints in a Restricted Domain
  3. Assignment 6-2: Part A Pg 310 #11-18, 20  Part B  Pg 309 #1-6, 23, 24
Unit 6-3 Agenda
  1. Review of Optimization with the Calculator (Std 1g)
  2. Optimization using the Derivative
    • Setting up the function for the value to be optimized
    • Using the Derivative to find the critical values
  3. Three Typical Examples of Optimization with Derivatives
  4. Assignment 6-3: Pg 322 #2-10
Unit 6-4 Agenda
  1. Traits of a Polynomial Function
    • Domain
    • y-intercept
    • Zeros
    • End Behavior
    • Extreme Points
    • Range
  2. Using the Graphing Calculator to Verify Traits
  3. Assignment 6-4: Pg 331 #1, 5, 6, 9, 10, 11, 13, 14