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A relationship set can be more formally defined as a mathematical relation on entity sets as follows.

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Final answer:

A function is a mathematical concept that describes a relationship between two sets of data. Each input value is paired with one output value, and the relationship can be expressed using equations, tables, or graphs.

Step-by-step explanation:

A function is a mathematical concept that describes a relationship between two sets of data, such as numbers or variables. In a function, each value from one set is paired with exactly one value from another set. This relationship can be expressed using different forms, such as equations, tables, or graphs.

For example, consider the function y = 2x, where x represents the input values and y represents the output values. For every value of x, there is only one corresponding value of y. This function describes a linear relationship where the output is always twice the value of the input.

Functions are used in various areas of mathematics and other subjects to model real-world situations, analyze data, and solve problems.

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