Labels:black | darkness | black and white | circle OCR: Figure 12-2: Illustration of the Range of the Square Root Function The sqrt function mape the complex plane into the right half of the plane by alitting it along the negative real axis and then aweeping it around as if half-closing a folding [an. The fan aleo shrinks, as if it were made of cotton and had gotten weller at the periphery than at the center. The positive real axis is mapped onto itself. The negative real axis is mapped onto the positive imaginary axis (but if minus zero is supported, then -$ + Us is mapped onto the positive imaginary axis and -$ - 0; onto the negative imaginary axis, assuming $ > 0). The positive imaginary axia is mapped onto the northeast diagonal, and the negative imaginary axis onto the southeast diagonal. More generally, lines are mapped to rectangular hyperbolas (or fragmenta thereof ) centered on the origin; linea through the origin are mapped to degenerate hyperbolas (perpendicular lines through the origin).
