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Definition

The set of all output values it may produce

Function

$\mathrm{Im}(f)=\{y\in Y:y=f(x),x\in X\}$ where $X$ is domain and $Y$ is codomain

The set of all output values the function may produce.

Linear algebra

$\mathrm{Im}(f)=\{\mathbf{w}\in W:\mathbf{w}=f(\mathbf{x}),\mathbf{w}\in V\}$ where $X$ is domain and $Y$ is codomain

The set of all output values the function may produce.