Wednesday, October 23, 2013

On Reduction, 3 of 11



Graphs of Reduction and Protraction




     Here's a graph of     y  =  x <+> 1 :


                                  .*     |
                                  .*     |
                                 . *     |
                              .    *     |
               _. _  _ ._  _  _  _ *_  _ |_1_  _  _  _  _  _  _  _
                                   *     |        .      .
                                   *     | .
                                   *     .                        
                                 -1*   . |
                                   *  .  |
                                   * .   |


     In general the graph of  y=x<+>a  will have a vertical asymptote at x=(-a), a horizontal asymptote at y=a, and it will go through (0,0).



     Here’s a graph of       y  =  1 <-> x :


                                   |     *  .
                                   |     *   .
                                   |     *     .
                                   |     *        .     
               _  _  _  _  _  _  _1|_  _ * _  _  _  _ ._  _  _  _ 
                .      .           |     *               
                              .    |     * 
                                   .     *                      
                                   | .   *1
                                   |   . *
                                   |    .*
                                   |    .*


     In general the graph of  y=a<->x will have a vertical asymptote at x=a, a horizontal asymptote at y=a, and it will go through (0,0).



No comments:

Post a Comment