# Ch 22: NES Math: Piecewise Functions

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### About This Chapter

## NES Math: Piecewise Functions - Chapter Summary

Let us help you review information on working with piecewise functions as you prepare for the NES Math test. Our lessons, quizzes and other tools can help you get ready for questions on the following:

- Definition of piecewise functions
- Ways to determine the domain of piecewise functions
- Graphs of piecewise functions
- How to translate piecewise functions

You'll get practical experience working with piecewise functions in these lively video lessons, developed and taught by experts in the field. The lessons are available anytime, via computer or mobile device. Study aids include short lesson quizzes, a text transcript with key terms in bold type and a clickable Timeline that makes it easy to return to specific parts of the lesson for review.

### NES Math: Piecewise Functions Chapter Objectives

Five states have made passing the NES Math test one of the requirements for certification to teach secondary-level math. The test's questions are divided into five content domains, and questions on the material covered in this Piecewise Functions chapter are in the Patterns, Algebra and Functions test domain. This is the largest content domain on the NES Math test, accounting for 24% of the total score.

All questions on the NES test are multiple-choice, as are the questions on the quizzes that follow each of our lessons and the comprehensive chapter exam. Our tests give you a good opportunity to find out what it will be like to answer questions on the NES exam.

### 1. 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.

### 2. How to Find the Domain of Piecewise Functions

The domain of any function is all the values that x can be for that function. Piecewise functions are special functions that have different parts with unique rules for each part. This lesson will show you how to find the domain for piecewise functions.

### 3. 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.

### 4. Translating Piecewise Functions

Piecewise functions are two or more functions that only use part of a domain. If these functions need to be changed, we can translate them without even having to know the equation.

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### Other Chapters

Other chapters within the NES Mathematics (304): Practice & Study Guide course

- NES Math: Properties of Real Numbers
- NES Math: Fractions
- NES Math: Decimals & Percents
- NES Math: Ratios & Proportions
- NES Math: Units of Measure & Conversions
- NES Math: Logic
- NES Math: Reasoning
- NES Math: Vector Operations
- NES Math: Matrix Operations & Determinants
- NES Math: Exponents & Exponential Expressions
- NES Math: Algebraic Expressions
- NES Math: Linear Equations
- NES Math: Inequalities
- NES Math: Absolute Value
- NES Math: Quadratic Equations
- NES Math: Polynomials
- NES Math: Rational Expressions
- NES Math: Radical Expressions
- NES Math: Systems of Equations
- NES Math: Complex Numbers
- NES Math: Functions
- NES Math: Exponential & Logarithmic Functions
- NES Math: Continuity of Functions
- NES Math: Limits
- NES Math: Rate of Change
- NES Math: Derivative Rules
- NES Math: Graphing Derivatives
- NES Math: Applications of Derivatives
- NES Math: Area Under the Curve & Integrals
- NES Math: Integration Techniques
- NES Math: Applications of Integration
- NES Math: Foundations of Geometry
- NES Math: Geometric Figures
- NES Math: Properties of Triangles
- NES Math: Triangle Theorems & Proofs
- NES Math: Parallel Lines & Polygons
- NES Math: Quadrilaterals
- NES Math: Circles & Arc of a Circle
- NES Math: Conic Sections
- NES Math: Geometric Solids
- NES Math: Analytical Geometry
- NES Math: Trigonometric Functions
- NES Math: Trigonometric Graphs
- NES Math: Solving Trigonometric Equations
- NES Math: Trigonometric Identities
- NES Math: Sequences & Series
- NES Math: Graph Theory
- NES Math: Set Theory
- NES Math: Statistics Overview
- NES Math: Summarizing Data
- NES Math: Tables, Plots & Graphs
- NES Math: Probability
- NES Math: Discrete Probability Distributions
- NES Math: Continuous Probability Distributions
- NES Math: Sampling
- NES Math: Regression & Correlation