Example LF.0:  Suppose $y$ is a function of $x$ given by the equation $y = f (x) = 2x+ 3$.
$x$
$f(x)=2x+3$
5
13
4
11
3
9
2
7
1
5
0
3
-1
1
-2
-1
-3
-3
-4
-5
-5
-7
Table LF1 
Graph LF1
Diagram LF1 

Table LF1 shows a selection of the values this function relates.

Graph LF1 shows the graph of the table values of the function $f$ as well as the visualization of the graph of (all the values of) the function for the interval domain $[-5,5])$.

Diagram LF1 shows the mapping diagram for most of the table values of the function $f$.