Graphing Relations

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Graphing Relations

Relation graphing is available on Graphs pages and in the Analytic Window of Geometry pages.

You can define relations using ≤, <, =, >, or ≥. The inequality operator (≠) is not supported in relation graphing.

Relation type	Examples
Equations and inequalities equivalent to y = f(x)	y = sqrt(x) y-sqrt(x) = 1/2 -2y-sqrt(x) = 1/2 y-sqrt(x) ≥ 1/2 -2y-sqrt(x) ≥ 1/2
Equations and inequalities equivalent to x = g(y)	x = sin(y) x-sin(y) = 1/2 x-sin(y) ≥ 1/2
Conic equations and inequalities	x^2+y^2 = 5 x^2-y^2 ≥ 1/2+y

Relation type

Examples

Equations and inequalities equivalent to
y = f(x)

y = sqrt(x)

y-sqrt(x) = 1/2

-2*y-sqrt(x) = 1/2

y-sqrt(x) ≥ 1/2

-2*y-sqrt(x) ≥ 1/2

Equations and inequalities equivalent to
x = g(y)

x = sin(y)

x-sin(y) = 1/2

x-sin(y) ≥ 1/2

Conic equations and inequalities

x^2+y^2 = 5

x^2-y^2 ≥ 1/2+y

Note: Restrictions imposed by an active Press‑to‑Test session may limit the types of relations you can graph.

To Graph a Relation:

From the Graph Entry/Edit menu, select Relation.

Type an expression for the relation.

Press Enter to graph the relation.

Tips for Graphing Relations

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You can quickly define a relation from the Function entry line. Position the cursor to the immediate right of the = sign, and then press the Backspace key. A small menu appears with the relation operators and a Relation option. Choosing from the menu places the cursor in the Relation entry line.

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You can type a relation as text on a Graphs page and then drag the text object over either axis. The relation is graphed and added to the relation history.