Notations of image

The image \(f[X]\) of the entire domain \(X\) of \(f\) is called simply the image of \(f\).

Descriptions of this symbol

Observations of image 

Put your observations here...

German imag1-de.png

In the German book Lineare Algebra we find image of a subset is shown in the example on the right, and it is called 'Bild' in German context.
Find the example in page 5 in google books link

Encoding the observations of image

See encodings

TODO: Julianna Zsido says: The picture you put up there showing $hi-(N)=...$ (in LaTeX notation), is the "Urbildmenge" which is the inverse image and not the image!