Graph
Pronunciation: /græf/ Explain
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
 McAdams, David E.. All Math Words Dictionary, graph. 2nd Classroom edition 201501084799968. pg 87. Life is a Story Problem LLC. January 8, 2015. Buy the book
 Graph. ams.org. Geometry Glossary. American Mathematical Society. Last Accessed 7/11/2018. http://www.ams.org/featurecolumn/archive/geometryglossary.html.
 Hall, H. A.. A Short Introduction To Graphical Algebra. 4th edition. www.archive.org. Macmillan and Company, Ltd.. 1907. Last Accessed 7/11/2018. http://www.archive.org/stream/shortintroductio029519mbp#page/n4/mode/1up. Buy the book
 Bettinger, Alvin K., Englund, John A.. Algebra and Trigonometry. pp 146172. www.archive.org. International Textbook Company. January 1963. Last Accessed 7/11/2018. http://www.archive.org/stream/algebraandtrigon033520mbp#page/n163/mode/1up. Buy the book
Educator Resources
Cite this article as:
McAdams, David E. Graph. 4/21/2019. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/g/graph.html.
Image Credits
Revision History
4/21/2019: Updated equations and expressions to new format. (
McAdams, David E.)
12/21/2018: Reviewed and corrected IPA pronunication. (
McAdams, David E.)
7/10/2018: Removed broken links, updated license, implemented new markup, implemented new Geogebra protocol. (
McAdams, David E.)
2/8/2010: Added "References". (
McAdams, David E.)
8/4/2008: Added types of graphs. (
McAdams, David E.)
2/18/2008: Added caption to graph. (
McAdams, David E.)
8/19/2007: Initial version. (
McAdams, David E.)