| Graph Of A Function |
Article Index for Graph |
Website Links For Graph |
Information AboutGraph Of A Function |
| CATEGORIES ABOUT GRAPH OF A FUNCTION | |
| elementary mathematics | |
| charts | |
| functions and mappings | |
|
The graph of the function : is {(1,a), (2,d), (3,c)}. The graph of the cubic polynomial on the real line : is {(''x'',''x''3-9''x'') : ''x'' is a real number}. If the set is plotted on a Cartesian plane, the result is Therefore the graph of a function on real numbers is identical to the graphic representation of the function. For general functions, the graphic representation cannot be applied and the formal definition of the graph of a function suits the need of mathematical statements, e.g., the Closed Graph Theorem in Functional Analysis . The concept of the graph of a function is generalised to the graph of a Relation . Note that although a function is always identified with its graph, they are not the same because it will happen that two functions with different Codomain could have the same graph. For example, the cubic polynomial mentioned above is a Surjection if its codomain is the Real Number s but it is not if its codomain is the Complex Field . TOOLS FOR PLOTTING FUNCTION GRAPHS Hardware Software See List Of Graphing Software SEE ALSO
|
|
|