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Bellwork Find the inverse of the following functions

Learn how to find the inverse of functions, classify direct and inverse variation, and graph rational functions with slant asymptotes. Practice writing equations and identifying different types of variations between variables.

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Bellwork Find the inverse of the following functions

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  1. BellworkFind the inverse of the following functions • d

  2. Inverse Variation Section 7.1

  3. Classifying Direct and Inverse Variation • When two variables x and y show direct variation when y = ax for some nonzero constant a. Another type of variation is called inverse variation.

  4. Classifying Equations

  5. You Try Tell whether x and y show direct variation, inverse variation, or neither.

  6. Classify Data

  7. You Try

  8. Writing Inverse Variation Equations The variables x and y vary inversely, and y = 4 when x = 3. Write an equation that relates x and y. Then find y when x = −2.

  9. Bellwork • The variables x and y vary inversely. Use the given values to write an equation relating x and y. Then find y when x = 3.

  10. Graphing Simple Rational Functions Section 7.2

  11. What is asymptote? A line that continually approaches a given curve but does not meet it at any finite distance. When a Domain is not continous?

  12. Graphing simple rational functions

  13. Translating Simple Rational Functions

  14. Slant Asymptotes • Finding Slant Asymptotes of Rational Functions. • A slant (oblique) asymptote occurs when the polynomial in the numerator is a higher degree than the polynomial in the denominator. To find the slant asymptote you must divide the numerator by the denominator using either long division or synthetic division.

  15. Graph Rational function with slant Asymptote.

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