Difference between revisions of "Variable"
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In mathematics, a variable is a value which usually is the subject or part of a [[function]] and must be subject to change while not affecting the structure behind the function in which it acts. | In mathematics, a variable is a value which usually is the subject or part of a [[function]] and must be subject to change while not affecting the structure behind the function in which it acts. | ||
| − | For example, if we have a function: <math>f(x,y)=x^{2}+3y</math>, then <math>x,y</math> are said to be the variables of the function, <math>f</math>. Further, <math>f(1,2)=(1)^{2}+3(2)=1+6=7</math>. We change the variable and thus alter the value of the function. | + | For example, if we have a function: <math>f(x,y)=x^{2}+3y</math>, then <math>x,y</math> are said to be the variables of the function, <math>f</math>. |
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| + | Further, <math>f(1,2)=(1)^{2}+3(2)=1+6=7</math>. We change the variable and thus alter the value of the function. | ||
The [[set]] of all variables upon which a function acts is said to be the [[domain]]. The set of all values that a function can take due to its domain is called its [[range]]. | The [[set]] of all variables upon which a function acts is said to be the [[domain]]. The set of all values that a function can take due to its domain is called its [[range]]. | ||
Revision as of 19:21, May 14, 2007
In mathematics, a variable is a value which usually is the subject or part of a function and must be subject to change while not affecting the structure behind the function in which it acts.
For example, if we have a function: 
, then 
are said to be the variables of the function, 
.
Further, 
. We change the variable and thus alter the value of the function.
The set of all variables upon which a function acts is said to be the domain. The set of all values that a function can take due to its domain is called its range.
