Hey guys, i got another complex number q for y'all

We define S = (z E C : Arg(z) = -3pi/4 or Arg(z) = pi/2 or z=0)

1.Find the image of S under the function z → e^z and sketch it in the w plane, where w = e^z

2.As a point moves in S frm -4pi - 4ipi to the origin to 4ipi, describe how the corresponding point moves in the image of S.

Any ideas?

Thx