Ch 11: Overview of Functions

About This Chapter

Use the following study guide to review for the questions about function on the NY Regents Algebra test. Engaging videos with self-assessment quizzes can help you prepare for test day.

Overview of Functions - Chapter Summary

A function is really just a rule that takes a number and transforms it into another number. In this chapter, you can learn the basics of working with functions and complete ample practice problems in applying function operations. The following topics are included in the lessons:

  • Foundations of functions
  • Graph shifts on a plane for transformations
  • Addition, subtraction, multiplication and division of functions
  • Range and domain in functions
  • Composition of functions and inverse functions

You can watch the short video lessons and then refer to the text transcripts as needed. After you complete a lesson, you can take the quick quiz to measure your learning. If you need to review any topics, the handy video tags can quickly guide you to just the right section in the videos. Some lessons even include links to additional text-only lessons on related topics for additional support.

Integrated Algebra Regents Exam Objectives

The Integrated Algebra Exam transitions into the Algebra I test, as New York completes its changeover to the Common Core Learning Standards. All high school students must pass five subject-area tests with scores of 65 or higher in order to graduate.

In this algebra test, the portion that assesses your understanding of function concepts constitutes about 32%-38% of the three-hour exam. Multiple-choice questions are included, for which our online quizzes can provide valuable practice.

7 Lessons in Chapter 11: Overview of Functions
Test your knowledge with a 30-question chapter practice test
What is a Function: Basics and Key Terms

1. What is a Function: Basics and Key Terms

Mapping numbers sounds complex, but we do it when we buy gasoline. We pump gasoline, and the gas station charges us based on the amount of gas that we pump. Learn how this relates to functions while reviewing the basics and notations in this lesson.

Transformations: How to Shift Graphs on a Plane

2. Transformations: How to Shift Graphs on a Plane

What is a transformation? Well, it's something that transforms one function into another! To see what I mean and how that looks, check out this lesson!

How to Add, Subtract, Multiply and Divide Functions

3. How to Add, Subtract, Multiply and Divide Functions

Adding, subtracting, multiplying and dividing functions is about as simple as substituting in expressions and then just doing whichever operation it asks you to do. Check out this video lesson to see some examples of this and learn just how easy it is!

What Is Domain and Range in a Function?

4. What Is Domain and Range in a Function?

The domain and range are the possible outputs and inputs of a function. In this lesson, learn about what might restrict the domain and how to figure out the domain and range from a graph.

How to Compose Functions

5. How to Compose Functions

Function composition is the process of putting two or more functions together. This video lesson will explain how this process works and also show you how to evaluate functions that have been composed.

Inverse Functions

6. Inverse Functions

Inverse functions are two functions that do exactly opposite things. Check out this lesson to learn about how to write inverse functions, find inverse functions, and predict whether or not they exist.

Applying Function Operations Practice Problems

7. Applying Function Operations Practice Problems

In this lesson, learn how to apply all the different properties of functions to solve complex problems. From function operations and composition to domain and range, get your practice here!

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

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