Ch 9: Functions: NBPTS Math - Adolescence & Young Adult

About This Chapter

Get ready for the NBPTS Math exam with ease with the study resources in this chapter. It's great at helping you quickly review function-related topics for the test.

Functions: NBPTS Math - Adolescence & Young Adult - Chapter Summary

In order to examine functions and function notations quickly for the NBPTS Math - Adolescence & Young Adult exam, use the short video lessons in this chapter. They'll help you effectively review:

  • Nonlinear and linear functions
  • Range and domain of a function
  • Characteristics of piecewise functions
  • Graphing piecewise functions
  • Step function
  • Performing operations with functions
  • Finding the slope of a line
  • Slope-intercept and point-slope forms
  • Discrete and continuous domains

Each video in this chapter has an interactive format, making the study process for the exam fun. Each lesson comes with a corresponding quiz, so you can quickly gauge your understanding after working through the lesson. If you have a question about a particular topic from this chapter, you can get help from one of our online instructors.

13 Lessons in Chapter 9: Functions: NBPTS Math - Adolescence & Young Adult
Test your knowledge with a 30-question chapter practice test
What is a Function? - Applying the Vertical Line Test

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

Equations come in all shapes and sizes. Trying to determine which equations are functions can be difficult. You can apply the vertical line test to a graph to quickly tell whether or not it is a function.

What is Function Notation: Definition & Examples

2. What is Function Notation: Definition & Examples

After completing this lesson, you will be able to recognize function notation. You will also be able to evaluate functions correctly using function notation.

What Is Domain and Range in a Function?

3. 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.

Linear and Nonlinear Functions

4. Linear and Nonlinear Functions

After watching this video lesson, you'll be able to tell the differences between linear and nonlinear functions. You'll also be able to identify both types just by looking at graphs.

What are Piecewise Functions?

5. What are Piecewise Functions?

A piecewise function is a certain type of function that is made up of different parts. This lesson will define and describe piecewise functions and teach you how to identify them and how to write them.

How to Graph Piecewise Functions

6. How to Graph Piecewise Functions

Piecewise functions are specific functions that have more than one piece. There is a special trick to graphing these type of functions, which you will learn in this lesson.

Step Function: Definition, Equation & Examples

7. Step Function: Definition, Equation & Examples

In this lesson, we'll learn what a step function is and become comfortable with this type of function. We'll examine common examples, such as the floor and ceiling functions and the heaviside function.

How to Add, Subtract, Multiply and Divide Functions

8. 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!

Applying Function Operations Practice Problems

9. 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!

Discrete & Continuous Domains: Definition & Examples

10. Discrete & Continuous Domains: Definition & Examples

All values of x that a function can use is the domain of the function. Domains can be either discrete (a set of values) domain or continuous (over an interval).

How to Find and Apply The Slope of a Line

11. How to Find and Apply The Slope of a Line

In this lesson, we'll discover all about the slopes of lines. We'll learn about different types of slopes and how to find the slopes of lines. We'll use two methods: the slope formula and the slope-intercept form.

Slope-Intercept Form: Definition & Examples

12. Slope-Intercept Form: Definition & Examples

The slope-intercept form of the equation of a line is a useful form for graphing as well as for understanding the relationship between x and y. In this lesson, learn how the slope-intercept form helps you understand the equation of a line.

Point-Slope Form: Definition & Overview

13. Point-Slope Form: Definition & Overview

A linear equation is an algebraic equation that, when graphed, creates a straight line. The point-slope form is one way to write a linear equation. This lesson will teach you how to write a linear equation in point-slope form and give you some examples.

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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