Constructing Graphs from Tables
- Given a table containing the x and y values of several points on a graph, we can construct a graph by plotting the known points and draw between them, using the trend of points to guess the overall shape of the graph.
- When guessing the shape of the graph, there are many possible options. It is best to go with the simplest option.
Example
X | Y |
0.5 |
11 |
1 |
8.5 |
1.5 |
5.5 |
2 |
4 |
3 |
2 |
4.5 |
1.8 |
6 |
1.2 |
9 |
1 |
We wish to construct a graph from the above table. To begin, we plot the points on a graph:
Now, we draw between these points. In this case, the overall trend appears to curve and so we will draw a curved line: