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22.notebook                                              October 29, 2012


              22. Absolute Value, Reciprocal Functions

               Absolute Value ­ distance from zero

               |x| = 3



               |x| ≥ 3



               |x| < 3




                                                                            1
22.notebook                           October 29, 2012



              1. Graph |x| ­ 2 < 0




              2. Graph |x ­ 5| < 2 




                                                         2
22.notebook                                                 October 29, 2012



              3. Graph |x + 2| ≥ 3




              4. Sketch the graph of the function y = |x|




                                                                               3
22.notebook                                                                           October 29, 2012


              Reciprocal Functions
              The graph of a reciprocal function has a vertical asymptote at every 
              place where the graph of the original function intersects the x axis.




                 Scan graphs from p 162




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22.notebook   October 29, 2012




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Lesson 22

  • 1. 22.notebook October 29, 2012 22. Absolute Value, Reciprocal Functions Absolute Value ­ distance from zero |x| = 3 |x| ≥ 3 |x| < 3 1
  • 2. 22.notebook October 29, 2012 1. Graph |x| ­ 2 < 0 2. Graph |x ­ 5| < 2  2
  • 3. 22.notebook October 29, 2012 3. Graph |x + 2| ≥ 3 4. Sketch the graph of the function y = |x| 3
  • 4. 22.notebook October 29, 2012 Reciprocal Functions The graph of a reciprocal function has a vertical asymptote at every  place where the graph of the original function intersects the x axis. Scan graphs from p 162 4
  • 5. 22.notebook October 29, 2012 5