# Ch 30: CUNY Assessment Test in Math: Functions

### About This Chapter

## CUNY Assessment Test in Math: Functions - Chapter Summary

Use this chapter's lessons to review basic information on functions and how to graph them as you study for the CUNY Assessment Test in Math. Our videos offer refresher knowledge that can help you answer test questions on topics such as:

- How properties of functions compare algebraically, graphically and numerically
- Shifting graphs on a plane
- Domain and range in functions and composite functions
- Addition, subtraction, multiplication and division with functions
- Composing functions
- Inverse functions and how to graph them
- How to recognize symmetry graphically, algebraically and numerically
- Odd and even functions

Our instructors have created lively video lessons, averaging about five to ten minutes long, that prepare you for test questions on functions. They are available to you anytime, via computer, tablet or smartphone. Study aids include short lesson quizzes, a comprehensive chapter exam, which cal also be printed out and used to study offline.

### CUNY Assessment Test in Math: Functions Chapter Objectives

Newly admitted CUNY students have their mathematics abilities checked by taking the CUNY Assessment Test in Math. This test is divided into four sections, and questions on functions are in the section covering college algebra.

Likes our lesson quizzes and the chapter exam, the questions on the CUNY Assessment Test in Math are computer delivered and multiple choice. You'll get a chance to assess your learning through the quizzes and also see what it is like to answer questions in the format you'll face on the test.

### 1. 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.

### 2. Compare Properties of Functions Graphically

In this lesson, we will cover the characteristics of graphs of functions. We will employ the vertical line test and understand why some graphs do not qualify as functions.

### 3. Compare Properties of Functions Numerically

Can you compare functions when they're written out numerically as tables of values? In this lesson, you'll learn to do just that and to compare one function as a table to another written in a different form.

### 4. 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!

### 5. 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.

### 6. 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!

### 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.

### 8. Domain & Range of Composite Functions: Definition & Examples

Learn what makes a function a composite function and also learn how the parts of a composite function determine its domain. Also in this video lesson, learn about the range of composite functions.

### 9. Compounding Functions and Graphing Functions of Functions

We know that functions map numbers to other numbers, so what happens when you have a function of a function? Welcome to functions within functions, the realm of composite functions!

### 10. 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.

### 11. 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.

### 12. Recognizing Symmetry Graphically, Algebraically, and Numerically About the X-axis and Y-axis

When you fold a piece of paper exactly in half, you are creating symmetry. Symmetry is found in many areas of mathematics. In this lesson, learn to recognize symmetry graphically, algebraically, and numerically about the x- and y- axes.

### 13. Recognizing Symmetry Graphically, Algebraically & Numerically About the Origin

If you look at flowers and fruits, you'll see that many of these items in nature are symmetrical. In this lesson, learn about symmetry about the origin of a graph. When you are finished, test your knowledge with a short quiz!

### 14. Even & Odd Functions: Definition & Examples

Even and odd functions are an aspect of line symmetry. You can use knowledge of even and odd functions to quickly identify equation symmetry. After this lesson, test your knowledge with a short quiz!

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### Other Chapters

Other chapters within the CUNY Assessment Test in Math: Practice & Study Guide course

- CUNY Assessment Test in Math: Basic Arithmetic Operations
- CUNY Assessment Test in Math: Properties of Numbers
- CUNY Assessment Test in Math: Number Theory
- CUNY Assessment Test in Math: Factoring
- CUNY Assessment Test in Math: Estimating & Rounding
- CUNY Assessment Test in Math: Whole Numbers
- CUNY Assessment Test in Math: Negative Numbers
- CUNY Assessment Test in Math: Integers
- CUNY Assessment Test in Math: Introduction to Decimals
- CUNY Assessment Test in Math: Operations with Decimals
- CUNY Assessment Test in Math: Introduction to Fractions
- CUNY Assessment Test in Math: Operations with Fractions
- CUNY Assessment Test in Math: Percents
- CUNY Assessment Test in Math: Ratios & Proportions
- CUNY Assessment Test in Math: Averages
- CUNY Assessment Test in Math: Probability
- CUNY Assessment Test in Math: Logic
- CUNY Assessment Test in Math: Matrix Operations & Determinants
- CUNY Assessment Test in Math: Exponents & Exponential Expressions
- CUNY Assessment Test in Math: Algebraic Expressions
- CUNY Assessment Test in Math: Linear Equations
- CUNY Assessment Test in Math: Inequalities
- CUNY Assessment Test in Math: Absolute Value
- CUNY Assessment Test in Math: Quadratic Equations
- CUNY Assessment Test in Math: Polynomials
- CUNY Assessment Test in Math: Rational Expressions
- CUNY Assessment Test in Math: Radical Expressions
- CUNY Assessment Test in Math: Systems of Equations
- CUNY Assessment Test in Math: Complex Numbers
- CUNY Assessment Test in Math: Analytical Geometry
- CUNY Assessment Test in Math: Sequences & Series
- CUNY Assessment Test in Math: Using Trigonometric Functions
- CUNY Assessment Test in Math: Trigonometric Graphs
- CUNY Assessment Test in Math: Solving Trigonometric Equations
- CUNY Assessment Test in Math: Trigonometric Identities
- CUNY Assessment Test in Math Flashcards