# Ch 14: Graphing with Functions in Trigonometry: Help and Review

### About This Chapter

## Who's it for?

Anyone who needs help learning or mastering high school trigonometry material will benefit from taking this course. There is no faster or easier way to learn high school trigonometry. Among those who would benefit are:

- Students who have fallen behind in understanding the graphs of linear, polynomial and implicit 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 graphing with 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 Graphing with Functions in Trigonometry 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 Graphing with Functions in Trigonometry chapter exam to be prepared.**Get Extra Support**: Ask our subject-matter experts any functions question. They're here to help!**Study With Flexibility**: Watch videos on any web-ready device.

## Students will review:

In this course, you'll learn the answers to questions including:

- How do I graph basic functions?
- What are the properties of polynomial functions?
- What are the steps for simplifying polynomial functions?
- How do I plot slopes and tangents on a graph?
- What are horizontal and vertical asymptotes?
- What are implicit functions?

### 1. Graphing Basic Functions

Graphing basic functions on a Cartesian plane is similar to finding a spot on a map. Learn more about the similarities between maps and graphs, the functions of ordered pairs and quadrants, and how to graph their functions.

### 2. Polynomial Functions: Properties and Factoring

Polynomial functions are those in which the sum is multiplied by its constants and can be used to describe virtually any occurrence. Learn about the properties of polynomials and quadratic polynomials, factoring quadratics, and how to solve them using the quadratic equation.

### 3. Polynomial Functions: Exponentials and Simplifying

Polynomial functions are all about multiplication of their powers, and have unique properties when multiplying and dividing to simplify. See the properties of polynomials, how powers are used daily life, and the ways the power properties appear using multiplication and division.

### 4. Slopes and Tangents on a Graph

In mathematics, slopes and tangents help determine ratios and rates of change. Learn how to show slopes and tangents as lines on a graph, explore the concept of slope as it pertains to hills, and recognize how slope can be used to describe steepness.

### 5. Horizontal and Vertical Asymptotes

Horizontal and vertical asymptotes on a graph reveal points close to the x and y axes that run on infinitely. Learn more about asymptotes, define horizontal and vertical asymptotes, and understand how asymptotes are comparable to an unreachable finish line.

### 6. Implicit Functions

Implicit functions in math are equations that depend on both x and y, neither of which can be separated. Learn more about these functions in relation to ovals and circles, and review an example of an implicit function.

### 7. Finding Relative Extrema of a Function: Practice Problems & Explanation

Finding the points at which a function attains its highest or lowest value has many practical applications. In this lesson, you will learn how to use basic calculus to find the relative minimums and maximums of any function. Only basic knowledge of finding derivatives and solving equations using algebra will be necessary to understand this topic.

### Earning College Credit

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To learn more, visit our Earning Credit Page

### 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
- Basic Polynomial Functions in Trigonometry: Help and Review
- Higher-Degree Polynomial Functions in Trigonometry: Help and Review
- Rational 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