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Ch 11: Michigan Merit Exam - Math: Properties of Functions

About This Chapter

Studying the properties of functions for the Michigan Merit Exam doesn't have to be boring. These quick video lessons and quizzes will help make your study sessions enjoyable, and you will be able to answer questions just like the ones you will see on your exam.

Michigan Merit Exam - Math: Properties of Functions - Chapter Summary

If you've had difficulty understanding properties of functions, you can view quick video lessons to get a better understanding. You can also quiz yourself on the correct way to graph a piecewise function. The lessons in this chapter will enable you to answer questions on the Michigan Merit Exam about the following:

  • Algebraic and graphical comparisons of properties of functions
  • Range and domain in a function
  • Piecewise functions
  • Methods for finding the domain of a piecewise function
  • Steps to follow to graph piecewise functions

Video lessons can be watched from your computer or smartphone. If you have any questions while you're going through the lessons in this chapter, send them to the instructors via the Teacher tab.

6 Lessons in Chapter 11: Michigan Merit Exam - Math: Properties of Functions
Test your knowledge with a 30-question chapter practice test
Compare Properties of Functions Algebraically

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.

Compare Properties of Functions Graphically

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.

What Is Domain and Range in a Function?

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.

What are Piecewise Functions?

4. What are Piecewise Functions?

A piecewise function is a certain type of function that is made up of different parts. This lesson will define and describe piecewise functions and teach you how to identify them and how to write them.

How to Find the Domain of Piecewise Functions

5. How to Find the Domain of Piecewise Functions

The domain of any function is all the values that x can be for that function. Piecewise functions are special functions that have different parts with unique rules for each part. This lesson will show you how to find the domain for piecewise functions.

How to Graph Piecewise Functions

6. 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.

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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Other chapters within the Michigan Merit Exam - Math: Test Prep & Practice course

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