Do Now: Explain what an asymptote is in your own words.

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Presentation transcript:

Do Now: Explain what an asymptote is in your own words. Explain what end behavior is in your own words.

Learning Targets Describe end behavior of rational functions Describe behavior around points of discontinuity

Share your definitions with a neighbor: Asmpytote: End behavior:

1. End behavior of rational functions What is the function doing on its extremes? Look at graphs: Approaches horizontal asymptote! End behavior:

You do: Describe the end behavior of the following functions:

2. Behavior around vertical asymptotes Where is function going as it gets close to my asymptote? Infinity or negative infinity Look at graphs: To find behavior around vertical asymptotes, test points on both sides of asymptotes.

2. Behavior around vertical asymptotes To find behavior around vertical asymptotes, test points- that are very close to value of asymptote- on both sides. Use this form: Example: From the right From the left

Example: Describe the behavior around the points of discontinuity:

Practice: On worksheet, do first row only. Raise hand to have me check your work, then you may continue to finish the problems.