Mathematical Function (Noun)
Meaning
(mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function).
Classification
Nouns denoting relations between people or things or ideas.
Examples
- The concept of a mathematical function is often represented by the notation f(x) where f is the function and x is the variable.
- Experts in mathematics describe a function as a well-defined rule that maps each element in the domain to exactly one element in the range.
- In graphing, a mathematical function often represents relationships between variables, demonstrating how changing one variable may affect the others.
- A simple example of a mathematical function is a linear equation, which takes the form y = mx + b where m is the slope and b is the y-intercept.
- When analyzing a mathematical function, one of the primary objectives is to determine its domain and range, as these play crucial roles in defining the function's behavior.