Grade 11 ยท Mathematics Video Lesson
Determine the effects on the key attributes on the graphs of f(x) = bx and f(x) = logb (x) where b is 2, 10, and e when f(x) is replaced by af(x), f(x) + d, and f(x - c) for Video Lesson
Curriculum-aligned Grade 11 Mathematics lesson video for Determine the effects on the key attributes on the graphs of f(x) = bx and f(x) = logb (x) where b is 2, 10, and e when f(x) is replaced by af(x), f(x) + d, and f(x - c) for. Use it for classroom preview, instruction support, or home review.
About This Video
Curriculum-aligned Grade 11 Mathematics lesson video for Determine the effects on the key attributes on the graphs of f(x) = bx and f(x) = logb (x) where b is 2, 10, and e when f(x) is replaced by af(x), f(x) + d, and f(x - c) for. 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: Determine the effects on the key attributes on the graphs of f(x) = bx and f(x) = logb (x) where b is 2, 10, and e when f(x) is replaced by af(x), f(x) + d, and f(x - c) for lesson plan.
Video Learning Notes
In this lesson, students explored how multiplying, adding, and replacing the input variable in exponential and logarithmic functions transform their graphs. They learned how vertical stretches/compressions, reflections, vertical shifts, and horizontal shifts affect key attributes such as intercepts and asymptotes. Students applied this understanding to formulate equations modeling real-world situations, including recursive exponential relationships, deepening their comprehension of these important functions in Algebra II.
Learning Goals
- Identify and describe how multiplying f(x) by a positive or negative constant a affects the graph of f(x) = b^x and f(x) = log_b(x) for b = 2, 10, and e.
- Explain the effect of adding a constant d to f(x) on the graph's vertical shift and key attributes.
- Determine how replacing x by (x - c) shifts the graph horizontally and affects intercepts and asymptotes.
- Formulate exponential and logarithmic equations that model real-world situations, including those expressed recursively.
- Analyze and compare the effects of transformations on exponential versus logarithmic graphs for specific values of a, c, and d.
Curriculum Context
Grade: Grade 11
Subject: Mathematics
Curriculum: TEKS