Exercise #11
Graphing Absolute Value


Recall        x


Definition:




Example
Write f ( x)      x 2 as a piece-wise function.




The graph of f ( x) is:
                             y




                                              x




Example
Graph f ( x)      2x 1
                             y




                                              x
Example
Graph f ( x)   x2 1
                       y




                           x




Example
Graph f ( x) 3 x 2 4
                       y




                           x




Example
Graph f ( x)   cos x
                       y




                           x
Example
Graph f ( x) 2 x 3 1
                           y




                                              x




Piece-Wise Graphs




                   x 2            x<0
                       2
      Ex. f ( x)   x       when   0   x   2
                       x          x>3


                                  y




                                                  x

Exercise #11 notes

  • 1.
    Exercise #11 Graphing AbsoluteValue Recall x Definition: Example Write f ( x) x 2 as a piece-wise function. The graph of f ( x) is: y x Example Graph f ( x) 2x 1 y x
  • 2.
    Example Graph f (x) x2 1 y x Example Graph f ( x) 3 x 2 4 y x Example Graph f ( x) cos x y x
  • 3.
    Example Graph f (x) 2 x 3 1 y x Piece-Wise Graphs x 2 x<0 2 Ex. f ( x) x when 0 x 2 x x>3 y x