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Ch 29: SHSAT Math: Properties of Functions

About This Chapter

Study for the Specialized High School Admissions Test (SHSAT) with the help of the fun video lessons in this chapter. Learn more about the properties of functions to make sure you're prepared for the math portion of the exam.

SHSAT Math: Properties of Functions - Chapter Summary

In this chapter, you can watch videos that explore the properties of functions to make it easier to study for the SHSAT. After watching the lessons, you will be prepared for the following:

  • Understanding the basics and key terms of functions
  • Explaining transformations and how to shift graphs on a plane
  • Adding, subtracting, multiplying and dividing functions
  • Sharing the meaning of domain and range in a function
  • Exhibiting how to compose functions
  • Writing and finding inverse functions
  • Solving complex problems by applying different properties of functions

The instructors in the video lessons make learning about the properties of functions entertaining and simple. You can watch the videos as often as you'd like to make sure you fully understand the lesson topics.

SHSAT Math: Properties of Functions Chapter Objectives

The SHSAT is a test taken by 8th and 9th grade students who reside in New York City and want to apply to NYC specialized high schools. Most schools admit test takers based solely on their composite score ranking compared with that of other students. The highest possible composite score is 800. To help you earn the highest score possible on the exam and get into your first-choice school, use the resources found in this SHSAT Math: Properties of Functions chapter.

The math portion of the exam is 75 minutes in length and features 50 word problems and computation questions that are presented in the form of multiple choice. Prepare for this section by taking the self-assessment quiz with each lesson in this chapter to gauge your comprehension of the properties of functions. If you have any questions about the lessons in this chapter, ask our expert tutors and coaches for assistance.

7 Lessons in Chapter 29: SHSAT Math: Properties of Functions
Test your knowledge with a 30-question chapter practice test
What is a Function: Basics and Key Terms

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.

Transformations: How to Shift Graphs on a Plane

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!

How to Add, Subtract, Multiply and Divide Functions

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!

What Is Domain and Range in a Function?

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.

How to Compose Functions

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.

Inverse Functions

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.

Applying Function Operations Practice Problems

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!

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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