# Ch 17: Rational Functions in Trigonometry: Help and Review

### About This Chapter

## Who's It For?

Anyone who needs help learning or mastering rational functions material will benefit from the lessons in this chapter. There is no faster or easier way to learn about rational functions in trigonometry. Among those who would benefit are:

- Students who have fallen behind in understanding methods for solving rational equations and inequalities or graphing and analyzing rational functions
- Students who struggle with learning disabilities or learning differences, including autism and ADHD
- Students who prefer multiple ways of learning math (visual or auditory)
- Students who have missed class time and need to catch up
- Students who need an efficient way to learn about rational functions
- Students who struggle to understand their teachers
- Students who attend schools without extra math learning resources

## How It Works:

- Find videos in our course that cover what you need to learn or review.
- Press play and watch the video lesson.
- Refer to the video transcripts to reinforce your learning.
- Test your understanding of each lesson with short quizzes.
- Verify you're ready by completing the rational functions chapter exam.

## Why It Works:

**Study Efficiently:**Skip what you know, review what you don't.**Retain What You Learn:**Engaging animations and real-life examples make topics easy to grasp.**Be Ready on Test Day:**Use the rational functions chapter exam to be prepared.**Get Extra Support:**Ask our subject-matter experts any rational functions question. They're here to help!**Study With Flexibility:**Watch videos on any web-ready device.

## Students Will Review:

This chapter helps students review the concepts in a rational functions unit of a standard high school trigonometry course. Topics covered include:

- Using rational functions to answer equations and inequalities
- Examining graphs of rational functions
- Determining slant asymptotes
- Identifying difference quotients via geometric interpretation

### 1. Solving Equations & Inequalities Involving Rational Functions

Functions that are the result of the division of two polynomials are rational functions, which can be solved by cross multiplying numerators and denominators. Review the definition of a rational function and learn how to solve rational equations and rational inequalities.

### 2. Graphing & Analyzing Rational Functions

In mathematics, rational functions can be expressed as a ratio of a numerator and denominator that are both polynomials. Explore the steps for graphing and analyzing rational functions. Analyze vertical asymptotes and horizontal asymptotes to understand rational functions and how to graph them.

### 3. Finding Slant Asymptotes of Rational Functions

Slant asymptotes occur when the denominator polynomial degree is less than the degree of the numerator polynomial by one degree. Learn about finding the slant asymptotes of rational functions with examples.

### 4. Expressions of Rational Functions

Rational functions have a polynomial in the nominator and denominator. Learn to define and write rational functions, putting together all of their elements, including vertical and horizontal asymptotes.

### 5. The Geometric Interpretation of Difference Quotient

A difference quotient plugs two points in a function into a given equation. Learn about the geometric interpretation of difference quotients, with the help of an example and a look at what composes a function.

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### Other Chapters

Other chapters within the High School Trigonometry: Help and Review course

- Real Numbers - Types and Properties: Help and Review
- Working with Linear Equations in Trigonometry: Help and Review
- Working with Inequalities in Trigonometry: Help and Review
- Absolute Value Equations in Trigonometry: Help and Review
- Working with Complex Numbers in Trigonometry: Help and Review
- Systems of Linear Equations in Trigonometry: Help and Review
- Mathematical Modeling in Trigonometry: Help and Review
- Introduction to Quadratics in Trigonometry: Help and Review
- Working with Quadratic Functions in Trigonometry: Help and Review
- Coordinate Geometry Review: Help and Review
- Functions for Trigonometry: Help and Review
- Understanding Function Operations in Trigonometry: Help and Review
- Graph Symmetry in Trigonometry: Help and Review
- Graphing with Functions in Trigonometry: Help and Review
- Basic Polynomial Functions in Trigonometry: Help and Review
- Higher-Degree Polynomial Functions in Trigonometry: Help and Review
- Trig - Rational Expressions & Function Graphs: Help & Review
- Exponential & Logarithmic Functions in Trigonometry: Help and Review
- Trigonometric Functions: Help and Review
- Geometry in Trigonometry: Help and Review
- Triangle Trigonometry: Help and Review
- Working with Trigonometric Graphs: Help and Review
- Trigonometric Equations: Help and Review
- Working with Trigonometric Identities: Help and Review
- Applications of Trigonometry: Help and Review
- Analytic Geometry & Conic Sections in Trigonometry: Help and Review
- Vectors, Matrices & Determinants in Trigonometry: Help and Review
- Polar Coordinates & Parameterizations: Help and Review
- Circular Arcs, Circles & Angles: Help and Review
- TASC Math: Trigonometry