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Ch 8: Functions in Math: Help and Review

About This Chapter

The Functions in Math chapter of this SAT Mathematics Level 2 Help and Review course is the simplest way to master functions. This chapter uses simple and fun videos that are about five minutes long, plus lesson quizzes and a chapter exam to ensure students learn the essentials of functions for the SAT exam.

Who's it for?

Anyone who needs help learning or mastering SAT mathematics level 2 material will benefit from taking this course. There is no faster or easier way to prepare for this SAT math subject test. Among those who would benefit are:

  • Students who have fallen behind in understanding how to graph the different types of functions or perform basic function operations
  • Students who struggle with learning disabilities or learning differences, including autism and ADHD
  • Students who prefer multiple ways of learning math (visual or auditory)
  • Students who have missed class time and need to catch up
  • Students who need an efficient way to learn about functions for the SAT exam
  • Students who struggle to understand their teachers
  • Students who attend schools without extra math learning resources

How it works:

  • Find videos in our course that cover what you need to learn or review.
  • Press play and watch the video lesson.
  • Refer to the video transcripts to reinforce your learning.
  • Test your understanding of each lesson with short quizzes.
  • Verify you're ready by completing the Functions in Math chapter exam.

Why it works:

  • Study Efficiently: Skip what you know, review what you don't.
  • Retain What You Learn: Engaging animations and real-life examples make topics easy to grasp.
  • Be Ready on Test Day: Use the Functions in Math chapter exam to be prepared.
  • Get Extra Support: Ask our subject-matter experts any functions question. They're here to help!
  • Study With Flexibility: Watch videos on any web-ready device.

Students will review:

This chapter helps students review the concepts in a functions unit of a standard math course. Topics covered include:

  • Function notation
  • Domain and range
  • Transformations
  • Inverse functions
  • Composite functions
  • Functions of functions
  • Polynomial functions
  • Piecewise functions
  • Periodic functions
  • Recursive functions
  • Parametric functions

17 Lessons in Chapter 8: Functions in Math: Help and Review
Test your knowledge with a 30-question chapter practice test
Functions: Identification, Notation & Practice Problems

1. 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.

Transformations: How to Shift Graphs on a Plane

2. Transformations: How to Shift Graphs on a Plane

Transformations in mathematics are functions that change into different functions. Explore the different types of transformations including rotations, reflections, dilations, and translations, and learn how to shift graphs on a plane.

What Is Domain and Range in a Function?

3. 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.

How to Add, Subtract, Multiply and Divide Functions

4. 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.

How to Compose Functions

5. 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.

Inverse Functions

6. 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.

Understanding and Graphing the Inverse Function

7. Understanding and Graphing the Inverse Function

Inverse functions undo functions and revert information back to its starting point. Discover more about inverse functions, explore the five steps to inversing a function, review examples, and learn how to graph an inverse function.

How to Evaluate Composite Functions

8. How to Evaluate Composite Functions

Multiple mathematic functions can be combined into a composite function where the value of one function depends on the other. Learn how to write, define, and evaluate composite functions with a series of examples.

Compounding Functions and Graphing Functions of Functions

9. Compounding Functions and Graphing Functions of Functions

In mathematics, functions are used to explore the relationships between numbers, using inputs and operations to produce outputs. Learn about compounding functions and the process of graphing the functions of functions, and further your understanding by reviewing composite functions, including their domain and range.

Applying Function Operations Practice Problems

10. Applying Function Operations Practice Problems

Function operations, the collection of knowledge about how to compose and solve functions in different ways, can be combined to solve more complex questions. Learn more about function operations and apply the principles of inverse functions, domain, range, and function composition to solve three practice problems.

Manipulating Functions and Solving Equations for Different Variables

11. Manipulating Functions and Solving Equations for Different Variables

Manipulating functions in order to solve equations for different variables is possible as long as certain rules are followed. Explore the unknowns of mathematics, how to manipulate functions, examples and rules of manipulation, and how to solve for different variables.

Polynomial Functions: Properties and Factoring

12. Polynomial Functions: Properties and Factoring

Polynomial functions are those in which the sum is multiplied by its constants and can be used to describe virtually any occurrence. Learn about the properties of polynomials and quadratic polynomials, factoring quadratics, and how to solve them using the quadratic equation.

Polynomial Functions: Exponentials and Simplifying

13. Polynomial Functions: Exponentials and Simplifying

Polynomial functions are all about multiplication of their powers, and have unique properties when multiplying and dividing to simplify. See the properties of polynomials, how powers are used daily life, and the ways the power properties appear using multiplication and division.

What are Piecewise Functions?

14. What are Piecewise Functions?

Piecewise functions have several parts, or pieces and are defined by a domain. Discover more about piecewise functions, some examples, how to evaluate them, and their application in the real world.

How to Find the Domain of Piecewise Functions

15. How to Find the Domain of Piecewise Functions

There are two ways to find the domain of a piecewise function: through its equation and its graph. Learn about the domain, piecewise functions, and more about the two ways to find the domain of piecewise functions.

How to Graph Piecewise Functions

16. How to Graph Piecewise Functions

Piecewise functions are mathematical operations that require multiple formulas, calculated in steps, to compute the final output. Learn about piecewise functions and work through examples to learn how to graph piecewise functions. Also recognize that piecewise functions may occur in pairs of equations or include three or more equations.

Translating Piecewise Functions

17. Translating Piecewise Functions

Combining bits and pieces of functions or graphs together is known as piecewise functions. Explore this concept through unknown piecewise functions, see formulas used in stretching reflecting and shifting, and how to translate them in visual transformations on the graph.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken
More Exams
There are even more practice exams available in Functions in Math: Help and Review.

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