Analyze and describe end behavior of functions, including exponential, logarithmic, rational, polynomial, and power functions, using infinity notation to communicate this Video Lesson

About This Video

Curriculum-aligned Grade 12 Mathematics lesson video for Analyze and describe end behavior of functions, including exponential, logarithmic, rational, polynomial, and power functions, using infinity notation to communicate this. 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: Analyze and describe end behavior of functions, including exponential, logarithmic, rational, polynomial, and power functions, using infinity notation to communicate this lesson plan.

Video Learning Notes

This lesson developed students' ability to analyze and describe the end behavior of various function types using infinity notation. Students learned to identify and interpret horizontal, vertical, and oblique asymptotes of rational functions and classify discontinuities. They also understood the limitations of graphing calculators near discontinuities. These skills enable students to connect algebraic and graphical representations of functions and apply them to real-world problems.

Learning Goals

• Analyze and describe the end behavior of exponential, logarithmic, rational, polynomial, and power functions using infinity notation in mathematical and real-world problems.
• Analyze the characteristics of rational functions and describe the behavior of these functions around horizontal, vertical, and oblique asymptotes.
• Identify and classify various types of discontinuities over the interval (-∞, ∞) and understand the limitations of graphing calculators in representing function behavior near these discontinuities.

Curriculum Context

Grade: Grade 12

Subject: Mathematics

Curriculum: TEKS