About This Chapter
How It Works:
- Identify the lessons in the Big Ideas Math Graphing Linear Functions chapter with which you need help.
- Find the corresponding video lessons with this companion course chapter.
- Watch fun videos that cover the linear functions topics you need to learn or review.
- Complete the quizzes to test your understanding.
- If you need additional help, rewatch the videos until you've mastered the material or submit a question for one of our instructors.
Students will learn:
- What a function is
- What range and domain in a function are
- How function notation looks
- How nonlinear and linear functions differ
- Definitions for continuous and discrete domains
- How to go from slope-intercept to standard form
- How to find the slope of a line
- How to translate graphs of linear functions
- Types of transformations involving absolute value graphs
Big Ideas Math is a registered trademark of Larson Texts, Inc., which is not affiliated with Study.com.
1. What is a Function? - Applying the Vertical Line Test
Equations come in all shapes and sizes. Trying to determine which equations are functions can be difficult. You can apply the vertical line test to a graph to quickly tell whether or not it is a function.
2. What Is Domain and Range in a Function?
The domain and range are the possible outputs and inputs of a function. In this lesson, learn about what might restrict the domain and how to figure out the domain and range from a graph.
3. Linear and Nonlinear Functions
After watching this video lesson, you'll be able to tell the differences between linear and nonlinear functions. You'll also be able to identify both types just by looking at graphs.
4. Discrete & Continuous Domains: Definition & Examples
All values of x that a function can use is the domain of the function. Domains can be either discrete (a set of values) domain or continuous (over an interval).
5. What is Function Notation: Definition & Examples
After completing this lesson, you will be able to recognize function notation. You will also be able to evaluate functions correctly using function notation.
6. Linear Equations: Intercepts, Standard Form and Graphing
Do you know what to do if an equation doesn't look like y=mx+b?! If not, then this video is for you. Chances are the equation is in standard form, so we'll learn how to use standard form equations, how to graph them and why they can be helpful.
7. How to Find and Apply The Slope of a Line
In this lesson, we'll discover all about the slopes of lines. We'll learn about different types of slopes and how to find the slopes of lines. We'll use two methods: the slope formula and the slope-intercept form.
8. Slope-Intercept Form: Definition & Examples
The slope-intercept form of the equation of a line is a useful form for graphing as well as for understanding the relationship between x and y. In this lesson, learn how the slope-intercept form helps you understand the equation of a line.
9. Translating & Reflecting Graphs of Linear Functions
The graph of a linear function is a line. You can move the graph of a linear function around the coordinate grid using transformations. In this lesson, you will learn about the three basic transformations: translation, reflection, and stretching.
10. How to Graph an Absolute Value and Do Transformations
Absolute value graphs normally look like the letter 'V', but transformations can change that 'V' in a number of different ways. As well as teaching you how to graph absolute values, this video will focus on a specific group of transformations called translations. Learn all about what that means here!
11. Graphing Absolute Value Equations: Dilations & Reflections
Although a basic absolute value graph isn't complicated, transformations can make them sufficiently confusing! In this lesson, you'll practice different transformations of absolute value graphs.
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Other chapters within the Big Ideas Math Algebra 1: Online Textbook Help course
- Big Ideas Math Algebra 1 - Chapter 1: Solving Linear Equations
- Big Ideas Math Algebra 1 - Chapter 2: Solving Linear Inequalities
- Big Ideas Math Algebra 1 - Chapter 4: Writing Linear Functions
- Big Ideas Math Algebra 1 - Chapter 5: Solving Systems of Linear Equations
- Big Ideas Math Algebra 1 - Chapter 6: Exponential Functions & Sequences
- Big Ideas Math Algebra 1 - Chapter 7: Polynomial Equations & Factoring
- Big Ideas Math Algebra 1 - Chapter 8: Graphing Quadratic Functions
- Big Ideas Math Algebra 1 - Chapter 9: Solving Quadratic Equations
- Big Ideas Math Algebra 1 - Chapter 10: Radical Functions & Equations
- Big Ideas Math Algebra 1 - Chapter 11: Data Analysis & Displays