# Ch 23: Saxon Algebra 2: Understanding Functions

### About This Chapter

## How It Works:

- Identify the lessons in the Saxon Understanding Functions chapter with which you need help.
- Find the corresponding video lessons with this companion course chapter.
- Watch fun videos that cover the functions topics you need to learn or review.
- Complete the quizzes to test your understanding.
- If you need additional help, rewatch the videos until you've mastered the material or submit a question for one of our instructors.

## Students Will Learn:

- Domain and range
- Function notation
- Vertical line test
- Functions as ordered pairs

*Saxon is a registered trademark of Houghton Mifflin Harcourt, which is not affiliated with Study.com.*

### 1. What Is Domain and Range in a Function?

The domain is the set of all the allowable input values of a function, while the range is the set of all possible output of the function. Learn how to find the domain and range of a function through given values, graphs, or general function rules.

### 2. What is Function Notation: Definition & Examples

Function notation is a mathematical concept that deals with displaying a system of symbols. Discover the definition and examples of function notation, as well as how to write it, how to evaluate functions, and how to combine two functions in function composition.

### 3. What is a Function? - Applying the Vertical Line Test

A function shows the relationship between one input variable and one output variable. Using clear examples, learn how graphing an equation allows quick determination of whether an equation is a function by applying the vertical line test.

### 4. Representing Functions as Ordered Pairs

Functions are a mathematical concept that show up everywhere in the world around us. This lesson will use definitions and examples to show how to use ordered pairs to represent functions.

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### Other Chapters

Other chapters within the Saxon Algebra 2 Homeschool: Online Textbook Help course

- Saxon Algebra 2: Decimal Numbers
- Saxon Algebra 2: Graphs on the Coordinate Plane
- Saxon Algebra 2: Sets
- Saxon Algebra 2: Real Numbers
- Saxon Algebra 2: Complex Numbers
- Saxon Algebra 2: Conversion by Unit Multipliers
- Saxon Algebra 2: Ratio & Proportion
- Saxon Algebra 2: Percent
- Saxon Algebra 2: Rate
- Saxon Algebra 2: Exponents
- Saxon Algebra 2: Exponents on a Scientific Calculator
- Saxon Algebra 2: Roots
- Saxon Algebra 2: Probability
- Saxon Algebra 2: Statistics
- Saxon Algebra 2: Simplifying Expressions
- Saxon Algebra 2: Polynomials
- Saxon Algebra 2: Simplifying Rational Expressions
- Saxon Algebra 2: Simplifying and Solving Equations
- Saxon Algebra 2: Linear Equations
- Saxon Algebra 2: Solving Linear Equations
- Saxon Algebra 2: Quadratic Equations
- Saxon Algebra 2: Other Types of Equations
- Saxon Algebra 2: Manipulating and Evaluating Functions
- Saxon Algebra 2: Trigonometry
- Saxon Algebra 2: Logarithms
- Saxon Algebra 2: Lines, Points, Segments, and Planes
- Saxon Algebra 2: Angles
- Saxon Algebra 2: Polygons
- Saxon Algebra 2: Circles
- Saxon Algebra 2: Triangles
- Saxon Algebra 2: Geometric Solids
- Saxon Algebra 2: Perimeter and Circumference
- Saxon Algebra 2: Area
- Saxon Algebra 2: Surface Area and Volume
- Saxon Algebra 2: Constructions
- Saxon Algebra 2: Postulates & Pythagorean Theorem
- Saxon Algebra 2: Proofs