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Published byXander Minson Modified over 4 years ago

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Rational Functions Characteristics

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What do you know about the polynomial f(x) = x + 1?

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What is the Domain? How do you determine the Domain? What is the Range? How do you determine the Range?

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Where are the Roots or Zeros found? What are some different ways you know to find them? What is the End Behavior? How do you know?

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What do you know about the polynomial g(x) = x 2 + 3x – 10?

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What is the Domain? How do you determine the Domain? What is the Range? How do you determine the Range?

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Where are the Roots or Zeros found? What are some different ways you know to find them? What is the End Behavior? How do you know?

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Now let’s consider the case of the rational function r(x) = where f and g are the polynomial functions as shown before.

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What is the Domain? How do you determine the Domain? What is the Range? How do you determine the Range?

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Where are the Roots or Zeros found? What are some different ways you know to find them? What is the End Behavior? How do you know?

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What do you know about the rational equation r(x) = f(x)/g(x) if f(x) = 5 and g(x) = x 2 – 6x +8?

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What is the Domain? How do you determine the Domain? What is the Range? How do you determine the Range?

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Where are the Roots or Zeros found? What are some different ways you know to find them? What is the End Behavior? How do you know?

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What do you know about the rational equation r(x) = 2x 2 + 7x – 4 ? x 3 – 1

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What is the Domain? How do you determine the Domain? What is the Range? How do you determine the Range?

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Where are the Roots or Zeros found? What are some different ways you know to find them? What is the End Behavior? How do you know?

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