# Ch 24: NES Math: Continuity of Functions

### About This Chapter

## NES Math: Continuity of Functions - Chapter Summary

The lessons in this chapter will remind you of how to check the continuity of a function and determine discontinuity. These videos can help you answer questions on the NES Math exam that cover topics such as:

- Definition of continuity in a function
- How to determine discontinuities in functions and graphs
- Regions of continuity

Our lessons are about five minutes long on average, and you can watch them anytime using a computer or mobile device. You can read along with the instructor through the transcripts that accompany each lesson. If you have questions, contact the instructors through our *ask-an-expert* message board.

### NES Math: Continuity of Functions Chapter Objectives

In several states, passing the NES Mathematics exam is one of the conditions for obtaining certification to teach math at the secondary school level. The exam's questions are segmented into five content domains. Questions on the topics reviewed in the Continuity of Functions chapter are in the Trigonometry and Calculus content domain, which accounts for 19% of the exam's total scoring.

All questions on the exam are multiple-choice, like the questions on our quizzes. In addition to offering a way to experience answering questions in the format you'll face on the exam, these short lesson quizzes show you where you need extra study prior to taking the exam. If you answer a question incorrectly, use the link in the quiz answer key to return to that spot in the lesson for review.

### 1. Continuity in a Function

Travel to space and explore the difference between continuous and discontinuous functions in this lesson. Learn how determining continuity is as easy as tracing a line.

### 2. Discontinuities in Functions and Graphs

In this lesson, we talk about the types of discontinuities that you commonly see in functions. In particular, learn how to identify point, jump and asymptotic discontinuities.

### 3. Regions of Continuity in a Function

Can Earth ever compete with extraterrestrial UFOs? In this lesson, you'll learn that not all functions are continuous, but most have regions where they are continuous. Discover how to define regions of continuity for functions that have discontinuities.

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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: Piecewise Functions
- NES Math: Exponential & Logarithmic 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
- NES Mathematics Flashcards