About This Chapter
Praxis I Math: Functions
Your video instructors will give you an in-depth explanation of the lesson topics, while also offering you advice on how what you learn can best be utilized on the skills test. You'll find that the variety of learning approaches you're exposed to might make the chapter more interesting and can fully prepare you to take the skills test.
This chapter is designed to help you learn more about functions and prepare for the geometry and measurement section of the skills exam. Topics for your video lessons will also include:
- Identification, notation and practice problems
- Domain and range
- Adding, subtracting, multiplying and dividing functions
- Composing functions
- Using function operations to practice problems
- Manipulating functions and solving equations
- Graphing functions
Objectives of the Praxis I Math: Functions Course
The pre-professional skills test is intended to get an idea of the mathematical ideas and skills that a college-educated adult might need in addition to measuring their ability to solve problems. Other geometry and measurement topics on the Praxis include geometric properties, systems of measurement and the xy-coordinate plane.
Once you've completed this chapter, you'll be better prepared for the geometry and measurement section of the exam, which composes about 22.5% of the full exam. Usually there are ten multiple choice questions on the Praxis I related to geometry and measurement. You'll be allowed 75 minutes to complete the test.
The self-assessment quizzes are designed to measure how well you can use the testing methods you've learned and to give you a glimpse of how questions are designed on the actual test.
1. 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!
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. 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. 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.
5. 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!
6. Manipulating Functions and Solving Equations for Different Variables
Functions can be manipulated to solve for many different variables. There are certain rules to follow, but if the rules are adhered to, solving equations can be quite simple. This lesson will show you how.
7. 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.
8. How to Graph Piecewise Functions
Piecewise functions are specific functions that have more than one piece. There is a special trick to graphing these type of functions, which you will learn in this lesson.
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Other chapters within the Praxis Core Academic Skills for Educators - Mathematics (5732): Study Guide & Practice course
- About the Praxis Math Core Test
- Praxis I Math: The Real Number System
- Praxis I Math: Square Roots and Exponents
- Praxis I Math: Ratio and Proportions
- Praxis I Math: Algebraic Expressions
- Praxis I Math: Equations and Inequalities
- Praxis I Math: Congruence and Similarity
- Praxis I Math: Right Triangles and Trigonometry
- Praxis I Math: Circles
- Praxis I Math: Geometric Measurement and Dimension
- Praxis I Math: Basic Statistics and Probability
- Praxis I Math: Categorical and Quantitative Data
- Praxis Core Academic Skills for Educators: Math Flashcards