Ch 19: WEST Middle Grades Math: Properties of Functions
About This Chapter
WEST Middle Grades Math: Properties of Functions - Chapter Summary
Watch this chapter's online video lessons in order to strengthen your knowledge of function operations. Learn about the different kinds of transformations you can do with functions. You may also explore the process of composing functions as you prepare to take the WEST Middle Grades Math examination. This chapter can help you to:
- Explain the basics of functions
- Transform and graph functions
- Perform function operations
- Calculate domain and range for a function
- Review function notation
- Confirm and write inverse functions
- Tell the difference between linear and nonlinear functions
The short video lessons in this chapter can be used as valuable study tools that help you prepare for the WEST Middle Grades Math examination. The informative lessons are presented by credentialed instructors who will answer your questions about functions. Feel free to watch the lessons at your own pace and to refer to the text transcripts at any time. Self-assessment quizzes and a practice chapter examination are included to test your knowledge.

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. Transformations: How to Shift Graphs on a Plane
What is a transformation? Well, it's something that transforms one function into another! To see what I mean and how that looks, check out this lesson!

3. How to Add, Subtract, Multiply and Divide Functions
Adding, subtracting, multiplying and dividing functions is about as simple as substituting in expressions and then just doing whichever operation it asks you to do. Check out this video lesson to see some examples of this and learn just how easy it is!

4. 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.

5. 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.

6. Inverse Functions
Inverse functions are two functions that do exactly opposite things. Check out this lesson to learn about how to write inverse functions, find inverse functions, and predict whether or not they exist.

7. Applying Function Operations Practice Problems
In this lesson, learn how to apply all the different properties of functions to solve complex problems. From function operations and composition to domain and range, get your practice here!

8. 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.
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Other Chapters
Other chapters within the WEST Middle Grades Mathematics (203): Practice & Study Guide course
- WEST Middle Grades Math: Basic Arithmetic Operations
- WEST Middle Grades Math: Solving Math Word Problems
- WEST Middle Grades Math: Properties of Numbers
- WEST Middle Grades Math: Estimating & Rounding
- WEST Middle Grades Math: Number Theory
- WEST Middle Grades Math: Roots & Radical Expressions
- WEST Middle Grades Math: Exponents & Exponential Expressions
- WEST Middle Grades Math: Scientific Notation
- WEST Middle Grades Math: Simplifying Whole Number Expressions
- WEST Middle Grades Math: Integers
- WEST Middle Grades Math: Rational Numbers
- WEST Middle Grades Math: Introduction to Fractions
- WEST Middle Grades Math: Operations with Fractions
- WEST Middle Grades Math: Introduction to Decimals
- WEST Middle Grades Math: Operations with Decimals
- WEST Middle Grades Math: Percents
- WEST Middle Grades Math: Money & Consumer Math
- WEST Middle Grades Math: Number Patterns & Sequences
- WEST Middle Grades Math: Graphing Functions
- WEST Middle Grades Math: Negative Numbers
- WEST Middle Grades Math: Absolute Value
- WEST Middle Grades Math: Inequalities
- WEST Middle Grades Math: Factoring
- WEST Middle Grades Math: Monomials & Polynomials
- WEST Middle Grades Math: Writing Algebraic Expressions
- WEST Middle Grades Math: Basic Algebraic Expressions
- WEST Middle Grades Math: Algebraic Distribution
- WEST Middle Grades Math: Writing & Solving One-Step Equations
- WEST Middle Grades Math: Writing & Solving Two-Step Equations
- WEST Middle Grades Math: Simplifying & Solving Rational Expressions
- WEST Middle Grades Math: The Coordinate Graph
- WEST Middle Grades Math: Linear Equations
- WEST Middle Grades Math: Systems of Linear Equations
- WEST Middle Grades Math: Rates, Ratios & Proportions
- WEST Middle Grades Math: Measurements
- WEST Middle Grades Math: Perimeter & Area
- WEST Middle Grades Math: Polyhedrons & Geometric Solids
- WEST Middle Grades Math: Symmetry, Similarity & Congruence
- WEST Middle Grades Math: Properties of Lines
- WEST Middle Grades Math: Angles
- WEST Middle Grades Math: Triangles
- WEST Middle Grades Math: Triangle Theorems & Proofs
- WEST Middle Grades Math: Similar Polygons
- WEST Middle Grades Math: The Pythagorean Theorem
- WEST Middle Grades Math: Quadrilaterals
- WEST Middle Grades Math: Circles
- WEST Middle Grades Math: Circular Arcs & Measurement
- WEST Middle Grades Math: Transformations
- WEST Middle Grades Math: Data & Graphs
- WEST Middle Grades Math: Statistics
- WEST Middle Grades Math: Data Collection
- WEST Middle Grades Math: Samples & Populations
- WEST Middle Grades Math: Probability
- WEST Middle Grades Math: Sets
- WEST Middle Grades Mathematics Flashcards