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Bell Ringer 10-26-16

Learn about holes and asymptotes in rational functions and how to graph them. Explore vertical, horizontal, and slant asymptotes. Complete classwork and homework assignments.

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Bell Ringer 10-26-16

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  1. Bell Ringer 10-26-16 Check your vocabulary…. • What is a “hole” in a graph? • What is an asymptote? • What does the graph of the parent rational function look like? (sketch it)

  2. Graphing Rational Functions Wednesday, October 26, 2016

  3. Quick Vocabulary Review • Hole(s) – point(s) of discontinuity in a function • Asymptote – a line that a function approaches (usually does not cross) • Domain – x-values • Range – y-values • Zeros – x-intercepts

  4. Rational Function Cards: Investigation 1 • Use your graphing calculator to complete a sketch of each graph. Show each in FACTORED form. Based on what you have done, • What causes a vertical asymptote? • What causes a hole in the graph?

  5. Rational Function Cards: Investigation 2 Use your graphing calculator to graph each rational function. Categorize based on if there is a horizontal asymptote or slant asymptote. • What causes a horizontal asymptote? • What causes a slant asymptote?

  6. Assignments • Classwork: Investigating Rational Functions • Homework: Graphing Rational Functions Worksheet 2

  7. Exit Ticket • 1. How do you determine if and where there are holes in a rational function? • 2. How do you determine the asymptotes of a rational function?

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