Direct and Inverse Variation

Start with direct and inverse variation

The mind maps on this page bring together equations and graph features for direct and inverse variation. Start with a map titled “Variation Functions” that includes both types. One lists y=kx and y=kx² for direct variation, alongside y=k/x for inverse variation. Its branches also mention domain and range.

Use the equation labels to find the direct and inverse branches. Then compare the domain and range information attached to them. Another map with the same title includes y=k/xⁿ and mentions graphs, asymptotes and lines of symmetry.

Compare the maps

The maps offer different ways to organize the topic. After looking at the equations in one map, open another and follow its graph, domain and range branches. Notice which ideas appear in both maps and which are shown in only one.

“Variation Functions 2” also includes direct and inverse variation and describes what happens when a variable is multiplied. The map covering direct, inverse, joint and combined variation adds equations such as y=kxz and y=kx/z. These branches give school students and teachers more terms and equations to compare.

Use the maps within Functions and Graphs

Direct and Inverse Variation is a section of the Functions and Graphs unit in Mathematics. The maps connect equations with graph features, including domain, range, asymptotes and lines of symmetry. Those labels provide a way to move between the variation equations and the graph information shown on the page.

There are no quizzes listed here, so the maps are the place to begin. Follow a branch, then use another map to check how it presents the same idea. Pick a map to explore, or use the listed branches as a starting point for your own notes.