# Category:Graphs of Mappings

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This category contains results about Graphs of Mappings.

Let $S$ and $T$ be sets.

Let $f: S \to T$ be a mapping.

The **graph** of $f$ is the relation $\RR \subseteq S \times T$ defined as $\RR = \set {\tuple {x, \map f x}: x \in S}$

Alternatively, this can be expressed:

- $G_f = \set {\tuple {s, t} \in S \times T: \map f s = t}$

where $G_f$ is the **graph of $f$**.

## Pages in category "Graphs of Mappings"

The following 4 pages are in this category, out of 4 total.

### G

- Graph of Real Bijection in Coordinate Plane intersects Horizontal Line at One Point
- Graph of Real Function in Cartesian Plane intersects Vertical at One Point
- Graph of Real Injection in Coordinate Plane intersects Horizontal Line at most Once
- Graph of Real Surjection in Coordinate Plane intersects Every Horizontal Line