Definition:Image of Mapping/Also known as

Image of Mapping: Also known as
Some sources refer to this as the direct image of a mapping, in order to differentiate it from an inverse image.

Rather than apply a mapping $f$ directly to a subset $A$, those sources often prefer to define the direct image mapping of $f$ as a separate concept in its own right.

In the context of set theory, the term image set of mapping for $\Img f$ can often be seen.