PreCalculus
Activity:
Exploring Vertical Asymptotes
Posted on Jan 28, 2010
Topic: Rational Functions
Students change the values in a rational function and observe the effects on the continuity of the graph of the function.
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Activity Key Steps:
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Students will observe how changing the values in a rational function affects the continuity of the graph of the function. By manipulating the values, students will explain how the values in a rational function determine the vertical asymptotes.
After examining the values in a rational function that determine the vertical asymptotes, they will then explore removable discontinuities. Students will determine what conditions must be true for a rational function to have a hole, or removable discontinuity.