1 / 20

Exploring Symmetry in Functions: Identifying and Graphing Inverses

In this lesson, we will delve into the concept of symmetry in mathematical functions and relations. Students will learn about different types of symmetry, including point and line symmetry, and how to classify functions as even or odd. We will discuss the formal definition of symmetry, particularly with respect to the origin, and practice identifying line symmetry using axes and the line y=x. Engage in hands-on activities to strengthen your understanding of symmetry in graphs and functions. Homework will reinforce these concepts through practice problems.

cecil
Télécharger la présentation

Exploring Symmetry in Functions: Identifying and Graphing Inverses

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Warm-up:

  2. Standard 2.2: determine and graph inverses of functions and identify symmetry in relations and functions [3-1, 3-4] In this lesson we will… • Discuss what symmetry is and the different types that exist. • Learn to determine symmetry in graphs. • Classify functions as even or odd.

  3. What is Symmetry? • Point Symmetry: Symmetry about one point • Figure will spin about the point and land on itself in less than 360º.

  4. Formal Definition: P’ M P

  5. Symmetry to Origin: • This is the main point we look at for symmetry. • Let’s build some symmetry!

  6. Determining Symmetry with Respect to the Origin

  7. Let’s do a couple…

  8. Line Symmetry

  9. What’s that mean? U D

  10. Lines We Are Interested In… • x-axis • y-axis • y = x • y = -x

  11. x-axis

  12. Example 3:

  13. y-axis

  14. Example 4:

  15. y = x

  16. y = -x

  17. Example 5:

  18. TOD: • What does it mean for a function to be symmetric to the line y = x? • How would one going about proving that symmetry mathematically?

  19. Homework: • HW 2.2: P 134 #25 – 35 odd

More Related