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Thursday, April 3, 2014

Thursday, April 3, 2014. SWBAT graph rational functions. Do Now. You should be SILENTLY starting your Do Now Log onto: m.socrative.com/student/# joinroom Room: 974860. Learning Target: SWBAT graph rational functions Homework: Graphing Rational Functions WS. Do Now Answers.

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Thursday, April 3, 2014

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  1. Thursday, April 3, 2014 SWBAT graph rational functions

  2. Do Now You should be SILENTLY starting your Do Now Log onto: m.socrative.com/student/#joinroom Room: 974860 Learning Target:SWBAT graph rational functions Homework: Graphing Rational Functions WS

  3. Do Now Answers Directions: Simplify the following rational expressions 1. 3. 2. 4. Learning Target:SWBAT graph rational functions Homework: Graphing Rational Functions WS

  4. Announcements • Due today: • HW: • Mon – Front of “mixed practice” • Tues – SAT packet (problems from video • Wed – Finish multiplying/dividing rational expressions • Thurs – Graphing rational functions WS • Composition Books • Extra credit (“Arsenic & Old Lace” summaries) • Quiz/Test corrections • Tutorials afterschool today

  5. Gummy Bears!!!

  6. 5 Pound Gummy Bear – 6120 calories (5 min) • You and some friends pitch in and buy this 5 pound, 6120 calorie gummy bear. • a) If you and one friend share the gummy bear, how many pounds will each one of you eat? • b) If you and two friends share the gummy bear, how many pounds will each one of you eat? • c) If you and three friends share the gummy bear, how many pounds will each one of you eat?

  7. a) If you and one friend share the gummy bear, how many pounds will each one of you eat? b) If you and two friends share the gummy bear, how many pounds will each one of you eat? c) If you and three friends share the gummy bear, how many pounds will each one of you eat? d) If you and ten friends share the gummy bear, how many pounds will each one of you eat? e) If you and 27 friends share the gummy bear, how many pounds will each one of you eat? f) If you and 84 friends share the gummy bear, how many pounds will each one of you eat? g) If you and 300 friends share the gummy bear, how many pounds will each one of you eat? h) Write a function to model the number of pounds of gummy bear (y) you will eat if you share it with x friends.

  8. Pounds of gummy per person # of friends j) What happens to the number of pounds of gummy bears that you will get when more and more people are added? k) Is it ever possible for you to not get any of the gummy bear? l) What is the smallest number of pounds of gummy bear that you could get?

  9. Pounds of gummy per person Horizontal Asymptote # of friends Vertical Asymptote

  10. Question Pounds of gummy per person X-intercept? Y-intercept? none Horizontal Asymptote # of friends 5 Vertical Asymptote • An asymptote is the line that the graph gets infinitely close to as the function tends to infinity (or negative infinity) • The Horizontal Asymptote is calculated by looking for numbers outside of the rational expression (fraction) • The Vertical Asymptote is calculated by equating the denominator of the rational expression to 0, and solving for x

  11. Parent Rational Function Horizontal Asymptote: Vertical Asymptote: X-intercept: Y-intercept: This shape is called a Hyperbola

  12. Example 1 Vertical Asymptote: Horizontal Asymptote: X-intercept: Y-intercept:

  13. Example 2 Vertical Asymptote: Horizontal Asymptote: X-intercept: Y-intercept:

  14. Practice • Complete “Graphing rational Functions” Worksheet

  15. Directions: Fill in the blank. • The parent rational function is f(x) = ____________ • The shape of the parent rational function is a ________________________________. • An _____________________ is the line that the graph gets infinitely close to as the function tends to ___________________. • For the parent rational function, the vertical asymptote is: ________________; horizontal asymptote is: _______________ hyperbola asymptote infinity X=0 Y=0

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