About This Chapter
How It Works:
- Find the lesson within this chapter that corresponds to what you're studying in the Basics of Functions chapter of your textbook.
- Review the lessons that cover the calculus concepts you need to learn or review.
- Complete the quiz after watching each video lesson to test your understanding.
- If you need additional help, go back over the lessons until you've mastered the material, or submit a question for one of our instructors.
You'll learn all of the calculus topics covered in the textbook chapter, including:
- Rules and samples of function tables
- How to identify and graph basic functions
- Identifying range and domain
- Composing and performing operations with functions
- Understanding inverse, odd and even functions
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1. Function Table in Math: Definition, Rules & Examples
A function table in math uses a tabular form to display inputs and outputs that correspond in a function. Explore the definition, rules, and examples of function tables and learn when to use them.
2. Graphing Basic Functions
Graphing basic functions on a Cartesian plane is similar to finding a spot on a map. Learn more about the similarities between maps and graphs, the functions of ordered pairs and quadrants, and how to graph their functions.
3. Functions: Identification, Notation & Practice Problems
Functions are equations that put one thing in to get another thing out. Explore function identification, notation examples, and function and relation practice problems.
4. 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.
5. How to Add, Subtract, Multiply and Divide Functions
Basic mathematical operations such as addition, subtraction, multiplication, and division can be performed on functions. Explore cost, revenue, and profit functions, and learn how to perform the four function operations.
6. How to Compose Functions
Function composition refers to integrating or the combining of multiple functions, often simplifying them in the process. Discover how the rules of functional notation apply to composing functions through two different example problems.
7. Inverse Functions
An inverse function is a function that undoes a previous function and is expressed with the power of negative one. Explore inverse functions, confirming inverses, finding inverses, and learn about the horizontal line test.
8. Even & Odd Functions: Definition & Examples
Even and odd functions relate to a line of symmetry and show a relationship between x and y values on a graph. Learn how to define, compare, solve and identify even and odd functions using algebraic equations.
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Other chapters within the Saxon Calculus Homeschool: Online Textbook Help course
- Saxon Calculus: Real Numbers
- Saxon Calculus: Algebra
- Saxon Calculus: Algebra Theorems
- Saxon Calculus: Geometry
- Saxon Calculus: Logic
- Saxon Calculus: Trigonometry
- Saxon Calculus: Graphing Calculator
- Saxon Calculus: Graphing Functions & Equations
- Saxon Calculus: Analysis of Graphs
- Saxon Calculus: Limits of Functions
- Saxon Calculus: Asymptotic & Unbounded Behavior
- Saxon Calculus: Continuity as a Property of Functions
- Saxon Calculus: Parametric, Polar & Vector Functions
- Saxon Calculus: Concept of the Derivative
- Saxon Calculus: Derivative at a Point
- Saxon Calculus: Derivative as a Function
- Saxon Calculus: Second Derivatives
- Saxon Calculus: Applications of the Derivative
- Saxon Calculus: Computation of Derivatives
- Saxon Calculus: Riemann Sums
- Saxon Calculus: Interpretations & Properties of Definite Integrals
- Saxon Calculus: Applications of Integrals
- Saxon Calculus: Fundamental Theorem of Calculus
- Saxon Calculus: Techniques of Antidifferentiation
- Saxon Calculus: Applications of Antidifferentiation
- Saxon Calculus: Numerical Approximation of Definite Integrals
- Saxon Calculus: Concept of Series
- Saxon Calculus: Series of Constants
- Saxon Calculus: Taylor Series