Labels:graphics | circle | graphic design | black and white | art OCR: Figure 12-3: Illustration of the Range of the Exponential Function The exp function maps horizontal lines to radhi and maps vertical lines to circles centered at the origin. The origin is mapped to 1. (It is instructive to compare this graph with those of other functions that map the origin to 1, for example (1+ z)/(1 - z), com z, and v1 - z2.) The entire real axis is mapped to the positive real axia, with -oo mapping to the origin and +oo to itself. The imaginary axis is mapped to the unit circle with infinite multiplicity (period 2x); therefore the mapping of the imaginary infinities Loos is indeterminate. It follows that the entire left half-plane is mapped to the interior of the unit circle, and the right half-plane is mapped to the exterior of the unit circle. A line at any angle other than horizontal or vertical is mapped to a logarithmic apical (but this is not illustrated here).
