Unit 3 - Objective 1 - Dependent and Independent Variables
A relation is used to represent a pairing (relationship) between two numbers, variables, or objects. A function is a special kind of relation. For any relation, the set of all possible first component values is called the domain and the set of all second values that can result from using values in the domain is called the range. If a relation between x and y has only one value of y for each value of x, then we say that y is a function of x. Every function is a relation but not every relation is a function.
The variable y is a function of x if a relation between x and y produces exactly one value of y for each value of x. The first variable is called the independent variable and the second variable is called the dependent variable. The phrase "function of x" is written as f(x).
The value of f(4) is 29. This gives the ordered pair (4, f(4)) or (4,29)
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