Linear mapping/Graph/Sketch/Exercise

How does the graph of a linear mapping

$f\colon \mathbb {R} \longrightarrow \mathbb {R} ,$

$g\colon \mathbb {R} \longrightarrow \mathbb {R} ^{2},$

$h\colon \mathbb {R} ^{2}\longrightarrow \mathbb {R}$

look like? How can you see in a sketch of the graph the kernel of the map?

Create a solution