Domain, Range, and Graph of the function.. What is the "graph"?

Question

The graph of the function, what is it, and why is it considered a subset in (a) mapping.. (it seems bigger)?

I know what a graph is really, but why is 'f' in mapping considered a subset of the domain and codomain(range) ??

Answer 1

A graph is the locus of all points that satisfy the given function.
For example the graph of the function y=x^2 is a parabola concave up (like a U), with its vertex at (0,0) and is symmetric to the y-axis. Its size depends on the scale you select on your x- y- coordinate system. You could make it as large or small as you like.