6.5 5th april 2013

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6.5 5th april 2013

  1. 1. 6.5Notes.notebook April 05, 2013 Apr 5­12:26 PM Apr 5­12:30 PM 1
  2. 2. 6.5Notes.notebook April 05, 2013 6.5 Graphing Trigonometric Functions Now that we have studied transformations we can apply these rules to trigonometric functions. Review: y=sin(x) Domain:_________ Range:  _________ Period: ________ Maximum:  ______ Minimum:  ______ Amplitude: ______ x intercepts: ______    Apr 12­5:31 PM Apr 5­12:28 PM 2
  3. 3. 6.5Notes.notebook April 05, 2013 Review: y=cos(x) Domain:_________ Range:  _________ Period: _________ Maximum:  ______ Minimum:  ______ Amplitude: ______ x intercepts: ______    Apr 12­5:31 PM Apr 5­1:00 PM 3
  4. 4. 6.5Notes.notebook April 05, 2013 Review: y=tan(x) Domain:_________ Range:  _________ Period:  _________ Maximum:  ______ Minimum:  ______ Amplitude: ______ x intercepts: ______    Apr 12­5:45 PM Apr 12­6:07 PM 4
  5. 5. 6.5Notes.notebook April 05, 2013 Draw quick sketches of the above. Notice that b) also has a reflection! Apr 12­6:09 PM Remember for y=f(bx) that b results is a compression by 1/b. Therefore y=sin(bx) means the period of 2    (or      for tan)    is compressed or stretched into  (again       for tan) . If b is >1 the period is  compressed. If  0<b<1 then the period is stretched.  b represents the number of complete cycles (periods) in 2  (or      ) Apr 12­6:10 PM 5
  6. 6. 6.5Notes.notebook April 05, 2013 Extra practice on this very important  concept: Apr 12­6:10 PM Other transformations follow earlier rules: Apr 12­6:07 PM 6
  7. 7. 6.5Notes.notebook April 05, 2013 Note the x axis on this  graph uses number values that relate to  Apr 13­8:39 AM Apr 13­8:39 AM 7
  8. 8. 6.5Notes.notebook April 05, 2013 HOMEWORK: Pg. 521 #3,4,5 #6,8 (both in class) #7,9 Mult. Ch #1,2 Apr 12­6:26 PM Apr 12­6:27 PM 8

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