Ch 5: NYSTCE Mathematics: Patterns & Functions

About This Chapter

Before taking the NYSTCE Mathematics examination, you'll need to master patterns and functions. Go online to access this chapter's video lessons on related subjects via your mobile device.

NYSTCE Mathematics: Patterns and Functions - Chapter Summary

Become an expert on mathematical patterns and functions. This chapter contains video lessons that are designed to help you pursue this goal. Brush up on familiar concepts so that you'll be ready to display the knowledge of a math professional when you sit for the NYSTCE Mathematics examination. Study function notation and review the steps necessary to perform operations with functions. The lessons also cover mathematical sequences, inverse functions and transformations. When you've satisfactorily completed this chapter, you should be able to:

  • Define a mathematical sequence
  • Identify patterns in mathematics
  • Understand the basics of functions
  • Write and find functions and inverse functions
  • Use function notation and complete practice problems
  • Subtract, multiply, add and divide functions
  • Calculate a function's domain and range
  • Contrast one-to-one functions and regular functions
  • Graph inverse functions and identify transformations

This chapter can be easily incorporated into your daily routine since it's as handy as your mobile device. The lessons include transcripts, graphs, examples and summaries. Utilize the handy features such as volume control, the full-screen option and the play/stop button as you get set for the NYSTCE Mathematics examination. Submit questions on patterns and functions by visiting the Dashboard and locating the ask-an-expert feature.

10 Lessons in Chapter 5: NYSTCE Mathematics: Patterns & Functions
Test your knowledge with a 30-question chapter practice test
What is a Mathematical Sequence?

1. What is a Mathematical Sequence?

Math is often the most fun when it acts like a puzzle to be solved. The branch of math where this is the most true involves sequences. Get an introduction to the basics and important vocabulary, as well as learn where sequences appear in nature!

Recognizing & Generalizing Patterns in Math

2. Recognizing & Generalizing Patterns in Math

Being able to recognize patterns is one of the most important aspects of studying math, and one that has definite advantages in other fields of study. In this lesson, we'll look at how to recognize the most common patterns in math: sequences.

What is a Function: Basics and Key Terms

3. 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.

Functions: Identification, Notation & Practice Problems

4. Functions: Identification, Notation & Practice Problems

A function is simply a rule that takes one number and turns it into another. But some special conditions must apply for it to be a true mathematical function. Learn about those conditions and how we write functions here!

How to Add, Subtract, Multiply and Divide Functions

5. 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?

6. 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.

Inverse Functions

7. 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.

One-to-One Functions: Definitions and Examples

8. One-to-One Functions: Definitions and Examples

Watch this video lesson to learn what makes a one-to-one function different from a regular function. Learn a simple test you can use to check whether a function is one-to-one or not.

Understanding and Graphing the Inverse Function

9. Understanding and Graphing the Inverse Function

If you use a function to map a to b, is there a way to go back from b to a again? Learn how to find and graph inverse functions so that you can turn a into b and back into a.

Transformations: How to Shift Graphs on a Plane

10. 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!

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.
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Other Chapters

Other chapters within the NYSTCE Mathematics (004): Practice & Study Guide course

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