External
Corequisite Precalculus
This course includes, but not limited to piece-wise, composite, inverse, polynomial, rational, exponential, and logarithmic functions. Also discussed are properties of functions, their relationship to equations and inequalities, as well as applications, and circles.
- Author
- Katherine Skelton
- Publisher
- Highline College
- Source
- LibreTexts
- License
- CC BY
- Language
- EN
- Category
- Basic Sciences
Contents· 80 sections
- 01: Academic Success Skills
- 1.01: The Power to Learn
- 1.02: It's All in the Mindset
- 1.03: Failure Is Not an Option
- 1.04: Active Learning from Lectures
- 1.05: Active Learning from Reading
- 1.06: Taking Notes
- 1.07: How to Manage Time
- 1.08: Enhanced Strategies for Time and Task Management
- 1.09: Goal Setting and Motivation
- 1.10: Test Taking and Preparation
- 1.11: Pre- Mid- and Post-Test-Taking Strategies
- 1.12: Test-Taking Strategy Specifics
- 02: Algebra Support
- 2.01: Real Numbers Linear Inequalities and Interval Notation
- 2.02: Basics of the Graphing Calculator
- 2.03: Polynomial Expressions
- 2.04: Adding and Subtracting Polynomial Expressions
- 2.05: Properties of Exponents
- 2.06: Multiplying Polynomial Expressions
- 2.07: The Greatest Common Factor and Factor by Grouping
- 2.08: Solving Polynomial Equations
- 2.09: Factoring ax bx c when a 1
- 2.10: Factoring ax bx c when a1
- 2.11: Factoring Special Products
- 2.12: General Strategy for Factoring Polynomials
- 2.13: Simplifying Multiplying and Dividing Rational Expressions
- 2.14: Adding and Subtracting Rational Expressions
- 2.15: Simplifying Complex Rational Expressions
- 2.16: Solving Rational Equations
- 2.17: Simplifying Expressions with Roots
- 2.18: Simplifying Radical Expressions
- 2.19: Simplifying Rational Exponents
- 2.20: Adding Subtracting and Multiplying Radical Expressions
- 2.21: Dividing Radical Expressions
- 2.22: Solving Radical Equations
- 2.23: Complex Numbers
- 2.24: Solving Quadratic Equations Using the Square Root Property
- 2.25: Solving Quadratic Equations by Completing the Square
- 2.26: Solving Quadratic Equations Using the Quadratic Formula
- 2.27: Solving Equations in Quadratic Form
- 2.EA: Exercises for Polynomials Expressions
- 2.EB: Exercises for Factoring Polynomial Expressions and Solving Polynomial Equations
- 2.EC: Exercises for Rational Expressions and Equations
- 2.ED: Exercises for Radical Expressions and Equations
- 2.EE: Exercises for Quadratic Equations
- 03: Inequalities and Functions
- 3.01: Prelude to Inequalities and Functions
- 3.02: Solving Nonlinear Inequalities
- 3.03: Functions and Function Notation
- 3.04: Graphing Functions and Common Function Behavior
- 3.05: Finding Information About Functions From Graphs
- 3.06: Average Rate of Change
- 3.07: Transformations of Functions
- 3.08: Algebra and Composition of Functions
- 3.09: Inverse Functions
- 3.E: Functions (Exercises)
- 3.R: Functions (Review)
- 04: Polynomial and Rational Functions
- 4.01: Prelude to Polynomial and Rational Functions
- 4.02: Quadratic Functions
- 4.03: Graphs of Polynomial Functions
- 4.04: Polynomial Division
- 4.05: Zeros of Polynomials
- 4.06: Introduction to Rational Functions
- 4.07: Graphing Rational Functions
- 4.E: Polynomial and Rational Functions (Exercises)
- 4.R: Polynomial and Rational Functions(Review)
- 05: Exponential and Logarithmic Functions
- 5.01: Prelude to Exponential and Logarithmic Functions
- 5.02: Exponential Functions
- 5.03: Graphing Exponential Functions
- 5.04: Logarithmic Functions
- 5.05: Graphing Logarithmic Functions
- 5.06: Laws of Logarithms
- 5.07: Exponential and Logarithmic Equations
- 5.08: Applications of Exponential and Logarithmic Functions
- 5.09: Trigonometry Preview - Circles
- 5.E: Exponential and Logarithmic Functions (Exercises)
- 5.R: Exponential and Logarithmic Functions (Review)