About This Chapter
Introduction to Relations & Functions - Chapter Summary
In this chapter on relations and functions, interactive lessons cover key terms related to functions and practice problems for functions. Also included in this chapter is an example of a linear regression model. After completing the chapter, you should be able to:
- Explain the basics of a function
- Compose functions
- Discuss conditions of mathematical functions
- Recognize linear and non-linear functions on a graph
- Use formulas for quadratic functions
- Define absolute value
- Provide examples of interval notation
- Calculate linear regression
Each lesson in this chapter is accompanied by a full written transcript and there are quizzes to test your understanding of the concepts covered. You can print the quizzes as worksheets for use as a study tool.
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. 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.
3. Functions: Identification, Notation & Practice Problems
A function is simply a rule that takes one number and turns it into another. But some special conditions must apply for it to be a true mathematical function. Learn about those conditions and how we write functions here!
4. How to Recognize Linear Functions vs Non-Linear Functions
In this lesson, you'll learn about two different groups of functions: linear and nonlinear. We'll cover how they look on a graph, and how you can tell them apart when they're written as equations.
5. Quadratic Functions: Examples & Formula
Learn what sets quadratic functions apart from all other functions. Learn how you can spot a quadratic just by looking at its graph. Also learn the two formulas that will help you when working with them.
6. What is an Absolute Value?
When we're talking and comparing numbers, we often don't care whether its positive or negative, just how big it is. This is often called the magnitude of a number and we find it by taking the absolute value. Learn all about it here!
7. Interval Notation: Definition & Examples
This lesson defines interval notation and explains how to write sets in interval notation. It also explores the various types of intervals, including open and closed intervals.
8. Linear Regression Model: Definition, Equation & Example
Ever hear of the linear regression model? If you are confused about what linear regression is, come inside this less for an explanation, how it is used and calculated. Then test your new skills with a short quiz.
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Other chapters within the Alberta Education Diploma - Mathematics 30-2: Exam Prep & Study Guide course
- Problem Solving with Logic & Reasoning
- Number Systems & Factoring
- Set Theory & Venn Diagrams
- Probability & Uncertainty
- Permutations & Combinations in Probability
- Rational Expressions & Quadratic Equations
- Logarithmic & Exponential Operations
- Solving Problems with Polynomial Functions
- Sinusoidal Functions
- Alberta Education Diploma - Mathematics 30-2 Flashcards