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Ch 10: Geometrical Representations of Functions

About This Chapter

Let us help you understand the geometrical representation of functions with this informative and user-friendly chapter. You can review our video and text lessons and then take the multiple-choice quizzes to prepare for an upcoming exam or get through a challenging homework assignment.

Geometrical Representations of Functions - Chapter Summary

This informative chapter covers the geometrical representations of functions. Our lessons explain dependent and independent variables as they're used in math and the notation and identification used in functions, plus practice problems. You'll also learn about domain and range in a function and the basics of graphing that relate to functions. This chapter is designed to help you:

  • Evaluate algebraic expressions for 2D geometric figures
  • Define locus of points
  • Graph a system of inequalities, including the feasible region
  • Explain the different types of coordinate systems in geometry

The most challenging topics are made simple with our professionally designed and user-friendly learning tools. Each video or text lesson has been created by an instructor to make your learning experience interesting and fun. If you want to go back and review just one part of a video lesson, use the video tabs feature found in the Timeline. Feel free to reach out to an instructor if you need assistance along the way.

8 Lessons in Chapter 10: Geometrical Representations of Functions
Test your knowledge with a 30-question chapter practice test
Independent & Dependent Variables in Math

1. Independent & Dependent Variables in Math

Learn what it means for a variable to be independent or dependent. Then explore how we identify which variables are independent and which are dependent in word problems and math equations.

Functions: Identification, Notation & Practice Problems

2. 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!

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.

Graphing Basic Functions

4. 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.

Writing & Evaluating Algebraic Expressions for Two-Dimensional Geometric Figures

5. Writing & Evaluating Algebraic Expressions for Two-Dimensional Geometric Figures

Learning more about algebraic expressions and geometric figures will help you solve problems that occur in your life. In this lesson, you will use the perimeter of a two-dimensional geometric shape to solve a real-world problem.

Locus of Points: Definition, Methods & Examples

6. Locus of Points: Definition, Methods & Examples

In this lesson, we will define a locus of points. We will look at various examples of a locus of points, and we will look at an example of finding an equation representing a locus of points in a real-world setting.

Graphing the Feasible Region of a System of Inequalities

7. Graphing the Feasible Region of a System of Inequalities

The feasible region of a system of inequalities is the area of the graph containing the points that satisfy all the inequalities at once. Watch this lesson to learn how to graph one.

Coordinate System in Geometry: Definition & Types

8. Coordinate System in Geometry: Definition & Types

Coordinate systems use 1-dimensional, 2-dimensional and 3-dimensional spaces and coordinates to define points. The ''xy'' coordinate grid is the most common of these systems, which you can learn how to use 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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