About This Chapter
COOP Exam: Properties of Functions - Chapter Summary
Boost your confidence as you prepare to take the COOP exam by watching the videos in this chapter. As you refresh your knowledge of the properties of functions, you'll feel ready to answer questions on the test that address the following:
- Understanding the basics and key terms of a function
- Adding, subtracting, multiplying and dividing functions
- Defining the domain and range in a function
- Composing functions
- Analyzing inverse functions
- Knowing how to apply function operations
- Examining linear and nonlinear functions
The videos in this chapter are fun to watch, offering detailed instruction with entertaining visual effects. You can view the videos in the classroom, at home, or even from your tablet or smartphone, making the process of studying convenient.
COOP Exam: Properties of Functions Chapter Objectives
Participating Catholic high schools in the Archdiocese of Newark and the Diocese of Paterson in New Jersey and New York require 8th grade students interested in admission to take the COOP exam. The test measures students' academic achievement in language, reading and math, as well as their aptitude and memory. The exam is broken into two components: aptitude and achievement. The topics covered in this Properties of Functions chapter are located in the math section of the achievement component.
All of the questions on the exam are multiple-choice. You can use the self-assessment quizzes with the lessons in this chapter to get practice with questions formatted like those you'll see on the test. If you want to visit specific portions of the lessons without struggling to find them, use the timelines located below the videos to jump to key topics within each lesson.
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 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!
3. 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.
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. 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.
6. 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!
7. 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 within the COOP Exam - New Jersey: Practice & Study Guide course
- COOP Exam: Sequences & Analogies
- COOP Exam: Quantitative Reasoning
- COOP Exam: Verbal Reasoning & Word Meaning
- COOP Exam: Reading Interpretation & Analysis
- COOP Exam: Reading Comprehension & Language Expression
- COOP Exam: Numbers & Arithmetic Operations
- COOP Exam: Integers
- COOP Exam: Irrational & Rational Numbers
- COOP Exam: Inequalities
- COOP Exam: Estimation
- COOP Exam: Decimals
- COOP Exam: Fractions
- COOP Exam: Percent
- COOP Exam: Ratios, Rates & Proportion
- COOP Exam: Square Roots
- COOP Exam: Exponents & Exponential Expressions
- COOP Exam: Scientific Notation
- COOP Exam: Measurement
- COOP Exam: Introduction to Geometry
- COOP Exam: Geometric Shape Properties
- COOP Exam: Symmetry, Similarity & Congruence
- COOP Exam: Properties of Lines
- COOP Exam: Graphing Basics
- COOP Exam: Transformations
- COOP Exam: Triangles
- COOP Exam: Triangle Theorems & Proofs
- COOP Exam: The Pythagorean Theorem
- COOP Exam: Tables, Charts & Graphs
- COOP Exam: Data Analysis & Statistics
- COOP Exam: Probability & Permutations
- COOP Exam: Math Sequences & Series
- COOP Exam: Graphing Functions
- COOP Exam: Mathematical Reasoning
- COOP Exam - New Jersey Flashcards