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Lesson 23: Case 2 Rationals

Lesson 23: Case 2 Rationals. Mini-Theme: Food. What makes a function Case 2?. Degree of the Numerator < Degree of the Denominator End behavior approaches zero on both sides. . What fruit is this? . Starfruit !. Horizontal Asymptotes. If Numerator Degree > Denominator Degree

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Lesson 23: Case 2 Rationals

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  1. Lesson 23: Case 2 Rationals Mini-Theme: Food

  2. What makes a function Case 2? • Degree of the Numerator < Degree of the Denominator • End behavior approaches zero on both sides.

  3. What fruit is this? Starfruit!

  4. Horizontal Asymptotes • If Numerator Degree > Denominator Degree • There is NO HA • If Numerator Degree < Denominator Degree (Case 2) • Then HA: y=O • If Numerator Degree= Denominator Degree (Case 1) • HA = fraction of the leading coefficients • There are some cases when the HA will only exist at the far left and right. • This is based on the limits or end behavior

  5. Case of 2 or more VA’s • Example: Graph: • Need to find VA’s and zeros. Zero @ 2 HA: y=O • Do a sign chart to find out what the graph will look like. • HA only exist at the far right and left

  6. According to National Geographic: Which country leads the world in turkey consumption per capita? Israel Red meat is expensive there. Pork is not kosher

  7. Graph of:

  8. Steps to graph a Case 2: • Find the VA’s and HA’s • Find the zeros and y-int • Find the rest of the graph using the sign chart • Determine the sign on each side of the VA’s and zeros • Practice/Example: Graph and state the domain and range for:

  9. What fruit is this? • Cherimoya (or Moya) – has a taste that is a cross between a pineapple and a banana

  10. CFU

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