Domain and Range
A function is generally defined as a rule that partners to each number x in a set a unique number y in another set. The set of x values to which the rule applies is the function's domain, and the set of y values to which it applies is its range.
The domain and range of a function are the essence or foundation of algebraic equations and calculus formulas. Everyday uses include graphs, charts and maps.
Fundamental Mathematical Concepts and Terms
A function is a set of ordered pairs (x,y) such that for each first element x, there always corresponds one and only one element y. The domain is the set of the first elements and the range is the term given to name the set of the second elements. The domain is referred to as the independent variable and the range as the dependent variable.
The domain is the first group or set of values being fed or input into a function and these values will serve as the x-axis of a graph or chart.
The range is the second group or set of values being fed or input into a function with these values serving as the y-axis of a graph or chart.
Learn more about domain and range by reading the explanation below.
Practice: Find the domain and range of functions in the following exercises.