# Ch 39: Praxis Mathematics: Asymptotes

### About This Chapter

## Praxis Mathematics: Content Knowledge - Asymptotes: Chapter Summary

An asymptote is a line that a curve approaches, but never meets, as it heads toward infinity. Through the online videos in this chapter, you'll learn how to find vertical and horizontal asymptotes of rational functions. This is a good skill to have heading in to the Praxis Mathematics: Content Knowledge test, which could include questions about asymptotes in its section on trigonometry.

### Praxis Mathematics: Content Knowledge - Asymptotes Objectives

The 2-hour Praxis Mathematics: Content Knowledge test measures your proficiency in several areas of mathematics, including algebra, geometry, trigonometry, calculus and discrete mathematics. Boards of education in many states use the Praxis to help them determine if teaching candidates are prepared for certification. This specific test is intended for prospective high school math teachers and includes 50 multiple-choice questions. An estimated eight percent of these questions have to do with trigonometry. You can opt to take the Praxis via computer or on paper.

If your skills in determining vertical and horizontal asymptotes are lacking, watch our video lessons, which are taught by experienced professional educators. Each lesson features a quiz that you can take to assess your abilities. The quizzes also can prepare you for the types of questions you're likely to see on the Praxis Mathematics: Content Knowledge test.

### 1. Analyzing the Graph of a Rational Function: Asymptotes, Domain, and Range

A rational function arises from the ratio of two polynomial expressions. The graphs of rational functions often have distinct characteristics. In this lesson, we look at how to analyze some of those characteristics.

### 2. Graphs and Limits: Defining Asymptotes and Infinity

Infinity is a hard concept to understand and the word asymptote is pretty intimidating. But this fun lesson will make both seem like a walk in the park as it defines both and shows their relationship using a graph.

### 3. Horizontal and Vertical Asymptotes

No matter how hard you try to get to them, asymptotes remain out of reach. Learn about these invisible lines on graphs that show you places your equations just can't go.

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### Other Chapters

Other chapters within the Praxis Mathematics - Content Knowledge (5161): Practice & Study Guide course

- Praxis Mathematics: Counting Numbers Properties
- Praxis Mathematics: Rational and Irrational Numbers
- Praxis Mathematics: Solving Problems with Reasoning
- Praxis Mathematics: Percents
- Praxis Mathematics: Ratios and Proportions
- Praxis Mathematics: Scientific Notation & Order of Magnitude
- Praxis Mathematics: Algebraic Expressions
- Praxis Mathematics: Algebraic Equations
- Praxis Mathematics: Algebraic Fractions
- Praxis Mathematics: Linear Equations
- Praxis Mathematics: Systems of Equations
- Praxis Mathematics: Radicals Operations
- Praxis Mathematics: Exponents
- Praxis Mathematics: Distance
- Praxis Mathematics: Functions
- Praxis Mathematics: Inverse Functions
- Praxis Mathematics: Logarithmic Functions
- Praxis Mathematics: Rational Functions
- Praxis Mathematics: Complex Numbers Operations
- Praxis Mathematics: Sequences, Series & Probability
- Praxis Mathematics: Combinations & Permutations
- Praxis Mathematics: Quadratic Equations
- Praxis Mathematics: Polynomials
- Praxis Mathematics: Matrix Algebra
- Praxis Mathematics: Algebraic Formulas
- Praxis Mathematics: Measurement
- Praxis Mathematics: Area
- Praxis Mathematics: Polygons
- Praxis Mathematics: Quadrilaterals
- Praxis Mathematics: Circles
- Praxis Mathematics: Triangles
- Praxis Mathematics: Congruence, Similarity and Transformations
- Praxis Mathematics: Three-Dimensional Space and Volume
- Praxis Mathematics: Data
- Praxis Mathematics: Distributions
- Praxis Mathematics: Graphing
- Praxis Mathematics: Trigonometry
- Praxis Mathematics: Continuity
- Praxis Mathematics: Limits
- Praxis Mathematics: Derivatives
- Praxis Mathematics: Integrals
- Praxis Mathematics: Optimization and Differentiation
- Praxis Mathematics: Theorems
- Praxis Mathematics: Statistics
- Praxis Mathematics: Interpreting Statistics
- Praxis Mathematics: Understanding Logic
- Praxis Mathematics: Content Knowledge Flashcards