Graphs of proportional relationships
When looking at the relationship between two variables it is often useful to construct a table of values to plot a graph.
Looking at these graphs, the following rules are deduced:
- When n = 1, y is directly proportional to x.
- When n > 1, y is directly proportional to x², x³ or any other positive power of x.
- When 0 < n < 1, y is directly proportional to any nth root of x.
- When n < 0, y is inversely proportional to x or any power of x.