About This Chapter
Introduction to Functions & Graphs - Chapter Summary
Get a quality review of functions and graphs by exploring this informative introduction. Lessons examine the basics of functions and also provide specific details about their properties and how they are graphed. Access these lessons at your convenience from any computer or mobile device. In no time, you will be ready to:
- Explain the basics and key terms of functions
- Identify various representations of patterns, and discuss how to extend the pattern
- Make comparisons between properties of functions algebraically
- Graph basic functions and the inverse function
- Use the qualitative features of a function to draw a graph
- Compose functions
This chapter can be tailored in any manner that suits your study needs. Review one, several or all the lessons in any sequence you choose. Visit them as many times as needed to feel confident that you fully understand functions and graphs. If you need additional details about lesson topics, be sure to submit your questions to our experts. When ready, assess your understanding of these topics by taking short quizzes and a comprehensive chapter exam.
1. What is a Function: Basics and Key Terms
Mapping numbers sounds complex, but we do it when we buy gasoline. We pump gasoline, and the gas station charges us based on the amount of gas that we pump. Learn how this relates to functions while reviewing the basics and notations in this lesson.
2. Identifying & Extending Different Types of Patterns
In this lesson, we will look at different ways patterns present themselves in the world around us. We will take a look at how to identify patterns and how to extend patterns and use this in some real-world examples.
3. Compare Properties of Functions Algebraically
In this lesson, we will explore algebraic and numeric properties and the evaluation of functions. We'll demonstrate function evaluations and the idea that every element of the domain has a unique element in the range.
4. Graphing Basic Functions
Graphs are just like maps - when you know the language! Review how locations have x and y coordinates similar to latitude and longitude, and how to plot points in the Cartesian plane.
5. Understanding and Graphing the Inverse Function
If you use a function to map a to b, is there a way to go back from b to a again? Learn how to find and graph inverse functions so that you can turn a into b and back into a.
6. Draw a Graph Based on the Qualitative Features of a Function
Learn how to sketch the graph of a function based on a description of its behavior. You can do this even if you don't know any exact numbers for the input or output values!
7. How to Compose Functions
Function composition is the process of putting two or more functions together. This video lesson will explain how this process works and also show you how to evaluate functions that have been composed.
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