Grade 12 ยท Mathematics Video Lesson
Describe symmetry of graphs of even and odd functions Video Lesson
Curriculum-aligned Grade 12 Mathematics lesson video for Describe symmetry of graphs of even and odd functions. Use it for classroom preview, instruction support, or home review.
About This Video
Curriculum-aligned Grade 12 Mathematics lesson video for Describe symmetry of graphs of even and odd functions. Use it for classroom preview, instruction support, or home review.
This watch page is dedicated to the video. For the complete text lesson plan, activities, standards alignment, and answer guides, use the companion lesson page: Describe symmetry of graphs of even and odd functions lesson plan.
Video Learning Notes
In this lesson, students learned to identify and describe the symmetry of graphs of even and odd functions. Even functions have y-axis symmetry where f(-x) = f(x), and odd functions have origin symmetry where f(-x) = -f(x). Students practiced algebraic tests and graphical identification of symmetry and connected these properties to the existence and behavior of inverse functions. Understanding symmetry helps in graphing functions accurately and solving real-world problems involving function behavior.
Learning Goals
- Describe the symmetry of graphs of even functions by identifying y-axis symmetry.
- Describe the symmetry of graphs of odd functions by identifying origin symmetry.
- Determine whether a function is even, odd, or neither using algebraic and graphical methods.
- Explain how symmetry properties relate to the existence and representation of inverse functions.
- Graph polynomial, rational, and trigonometric functions and identify their symmetry characteristics.
Curriculum Context
Grade: Grade 12
Subject: Mathematics
Curriculum: TEKS