Graphing Rational Functions with  Two Vertical Asymptotes | Interactive Teaching Resource for Teachers
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  • Graphing Rational Functions with  Two Vertical Asymptotes | Interactive Teaching Resource for Teachers

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Graphing Rational Functions with Two Vertical Asymptotes (3-month access)

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Mrs. Oldknow
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Lesson Summary

Graph rational functions by identifying asymptotes, holes, intercepts, and end behavior, using factoring and sign analysis to sketch accurately.
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About This Lesson

give me a 20 words version of: In this interactive lesson, students learn how to graph rational functions that include both infinite and removable discontinuities. Through guided examples and on-screen checks for understanding, they discover how to:

Identify vertical asymptotes (infinite discontinuities) and holes (removable discontinuities).
Compare how each type affects the graph.
Determine x- and y-intercepts, horizontal asymptotes, and end behavior.
Use sign analysis to predict where each branch of the graph lies.
Students also revisit key reasoning from the Polynomial Toolbox: factoring, using the Rational Root Theorem, and applying the Factor Theorem, to handle higher-degree denominators efficiently. By the end, they can interpret and sketch complex rational graphs confidently without plotting points.

Grade Level
Grades 9 โ€“ 12
H5P Includes:
Accordion
Interactive Video
Multiple Choice
Page
Quiz (Question Set)
Summary
True/False Question

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