Extra Example 3. Explore the mapping .
Explore Extra Solution 3.
Find the image of the ray and circle .
Find the image of the rectangle .
(c) 2006 John H. Mathews, Russell W. Howell
![[Graphics:Images/ComplexFunPowerRoot_gr_212.gif]](../Images/ComplexFunPowerRoot_gr_212.gif){kind=small}
. . ![[Graphics:../Images/ComplexFunPowerRoot_gr_213.gif]](../Images/ComplexFunPowerRoot_gr_213.gif){kind=small}
and
circle ![[Graphics:../Images/ComplexFunPowerRoot_gr_214.gif]](../Images/ComplexFunPowerRoot_gr_214.gif){kind=small}
. ![[Graphics:../Images/ComplexFunPowerRoot_gr_215.gif]](../Images/ComplexFunPowerRoot_gr_215.gif)
![[Graphics:../Images/ComplexFunPowerRoot_gr_216.gif]](../Images/ComplexFunPowerRoot_gr_216.gif)
![[Graphics:../Images/ComplexFunPowerRoot_gr_218.gif]](../Images/ComplexFunPowerRoot_gr_218.gif)
![[Graphics:../Images/ComplexFunPowerRoot_gr_219.gif]](../Images/ComplexFunPowerRoot_gr_219.gif){kind=small}
![[Graphics:../Images/ComplexFunPowerRoot_gr_217.gif]](../Images/ComplexFunPowerRoot_gr_217.gif){kind=small}
![[Graphics:../Images/ComplexFunPowerRoot_gr_220.gif]](../Images/ComplexFunPowerRoot_gr_220.gif)
![[Graphics:../Images/ComplexFunPowerRoot_gr_221.gif]](../Images/ComplexFunPowerRoot_gr_221.gif)
![[Graphics:../Images/ComplexFunPowerRoot_gr_223.gif]](../Images/ComplexFunPowerRoot_gr_223.gif)
![[Graphics:../Images/ComplexFunPowerRoot_gr_224.gif]](../Images/ComplexFunPowerRoot_gr_224.gif){kind=small}
![[Graphics:../Images/ComplexFunPowerRoot_gr_225.gif]](../Images/ComplexFunPowerRoot_gr_225.gif){kind=small}
.![[Graphics:../Images/ComplexFunPowerRoot_gr_222.gif]](../Images/ComplexFunPowerRoot_gr_222.gif){kind=small}
![[Graphics:../Images/ComplexFunPowerRoot_gr_226.gif]](../Images/ComplexFunPowerRoot_gr_226.gif)
![[Graphics:../Images/ComplexFunPowerRoot_gr_227.gif]](../Images/ComplexFunPowerRoot_gr_227.gif)
![[Graphics:../Images/ComplexFunPowerRoot_gr_229.gif]](../Images/ComplexFunPowerRoot_gr_229.gif)
![[Graphics:../Images/ComplexFunPowerRoot_gr_228.gif]](../Images/ComplexFunPowerRoot_gr_228.gif){kind=small}