Graph
Pronunciation: /græf/ ?
A graph is a visual
representation
of an
algebraic
relationship.
 Figure 1: Graph of the line y = 2x1 

When we draw a graph, we are drawing a representation of a relationship such as
y = 2x  1. A graph can help us understand and
interpret an algebraic relationship.

Types of Graphs
Number Lines
A number line is a one dimensional graph. Examples
of number lines include:
Example  Description 

 Number line showing A=5. 
 Number line showing B≤^{}3. 
 Number line showing ^{}5 ≤ C < 2.5. 
 Number line showing D < 0 or D ≥ 3. 
Table 1: Examples of number lines. 
Graphs Using Cartesian Coordinates in 2 Dimensions
 Figure 1: Graph of y = x^{2}4. 

When graphing a relationship between two variables, one usually uses a 2dimensional Cartesian coordinate system.

References
 graph. http://wordnet.princeton.edu/. WordNet. Princeton University. (Accessed: 20110108). http://wordnetweb.princeton.edu/perl/webwn?s=graph&sub=Search+WordNet&o2=&o0=1&o7=&o5=&o1=1&o6=&o4=&o3=&h=.
 Graph. ams.org. Geometry Glossary. American Mathematical Society. (Accessed: 20100205). http://www.ams.org/featurecolumn/archive/geometryglossary.html.
 Hall, H. A.. A Short Introduction To Graphical Algebra, 4th ed.. Macmillan and Company, Ltd., 1907. (Accessed: 20100208). http://www.archive.org/stream/shortintroductio029519mbp#page/n4/mode/1up.
 Bettinger, Alvin K., Englund, John A.. Algebra and Trigonometry, pp 146172. International Textbook Company, January 1963. (Accessed: 20100208). http://www.archive.org/stream/algebraandtrigon033520mbp#page/n163/mode/1up.
Educator Resources
Printed Resources
Cite this article as:
Graph. 20100208. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/g/graph.html.
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Revision History
20100208: Added "References" (
McAdams, David.)
20080804: Added types of graphs (
McAdams, David.)
20080218: Added caption to graph (
McAdams, David.)
20070819: Initial version (
McAdams, David.)