Example 2.7.  Show that the function    maps the line    in the xy plane onto the line    in the w plane.  

Explore Solution 2.7.

Enter the function  .  

Form the line    and its image.

Plot the mapping  .  

We see that he transformation    maps the line    onto the line  .  

(c) 2006 John H. Mathews, Russell W. Howell