The graph of a function is just a big collection of individual dots. Each dot is visually encoding a function pair.

• the first/left coordinate of a point (the abscissa) is a domain number.
• The second/right coordinate of a point (the ordinate) is the funciton value at this domain number.

The domain would be the collection of all of the first coordinates of all of the plotted points on the graph.

Here is the complete graph of the function $G(x)$.

The graph has two pieces and two asymptotes. $x=3$ is a vertical asymptote. $y=2$ is a horizontal asymptote.

The left part of the graph includes two arrows, which tell us that the first coordinates fill up the interval $(-\infty , 3)$.

The right piece of the graph includes the point $(3.2, 7)$ and then an arrow, which tell us that the first coordinates fill up the interval $[3.2, \infty )$.

The domain is

$$(-\infty , 3) \cup [3.2, \infty ]$$

We can visualize the dots on the graph smashed vertically to the horizontal axis.

$$(-\infty , 3) \cup [3.2, \infty ]$$

Here is a complete graph of $K(v)$.

The domain of the function $K$ is $[-6, \infty )$.

Here is a complete graph of $p(x)$.

The domain of the function $p$ is $[-6, 10]$.