PreCalculus
Chapter 8 Radical Functions
Unit 8-1 Radical Functions
- Standard 8a: Use sign patterns to determine the domain of a radical function
Outline
- Finding the Domain of a Radical Function
- 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
- Assignment 8-1: Pg 431 #1-8
Unit 8-2 The Chain Rule
- Standard 8b: Find the derivative of a composite function using the Chain Rule
Outline
- Review of Composite Functions
- The Chain Rule
- Inside-Outside Version
- Differential Version
- Assignment 8-2:
Pg 439 #1, 2, 3, 8, 10-13,17, 20
Unit 8-3 Radical Function Extremes
- Standard 8c: Find the critical values and extreme points of radical functions
Outline
- The Chain Rule
- Inside-Outside Version
- Differential Version
- Using the Sign Pattern of the Derivative to Find the Critical Points and Extreme Values
- Assignment 8-3: Pg 449 #1, 2, 5, 6, 18, 20, 21
Unit 8-4 Radical Curve Sketching
- Standard 8d: Find all the traits and sketch a radical curve algebraically
Outline
- Traits of a Radical Function
- Domain
- x and y intercepts
- Extreme Points
- Range
- End Behavior
- POE (If the function is also Rational)
- Vertical Asymptotes (If the function is also Rational)
- Using the Traits to Sketch an Approximate Curve
- Assignment 8-4: Pg 465 #1, 3, 4, 5, 6, 9, 11
Unit 8-5 Implicit Differentiation
Outline
-
- Assignment 8-5:
- Screencast
- Powerpoint
- PDF Slides
- Desmos Activity