Expressions & functions08 / 68

Equations, inequalities & regions

Graph Studio can draw relations involving both coordinates and shade the points that satisfy an inequality.

Find it

Expressions

Try it step by step

Enter an equation such as .
Replace equality with an inequality to shade a region.
Combine upper and lower limits with a chained inequality or use a domain restriction.
Check whether each boundary is solid or dashed before interpreting included points.

Each card is one input. For definitions, enter the cards in order. Formula-only cards belong in the tool described above.

Circle of radius 3.

The disk including its boundary.

A mixed-boundary region.

Implicit equation: An equation containing both x and y is drawn as a sampled contour.
Strict boundary: Less than or greater than excludes equality; the boundary is dashed.
Included boundary: Less than or equal / greater than or equal includes equality; the boundary is solid.
Mixed chains: Each part of a chained region retains its own strict or included boundary.
Polar inequalities: Supported polar relations shade a region over their angle interval.
Approximate contours: Tiny loops, narrow strips or closely spaced branches may need a closer zoom and can be missed by finite sampling.