3-2: Representing a Function

Key Concept

Recall that a function is a relationship between two quantities, called the input and the output, where for each input, there is exactly one output.

You can represent functions in four ways. Each of these ways may be considered a “view” of the relationship. When you know one view, you can usually determine the remaining three views.

Ordered Pairs A set of ordered pairs identifies specific values that satisfy the function.

Suppose a car gets 28 miles per gallon. In this situation, distance is a function of the number of gallons of gasoline.

The input is the number of gallons of gas.

The output is the distance.

Table of Values A table identifies specific values that satisfy the function.

Graph A graph gives a visual picture of the function.


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Digits, Grade 8, Volume 1, Homework Helper Unit A: Number and Operations Unit B: Proportionality Unit C: Expressions, Equations, and Relationships English/Spanish Glossary Formulas Math Symbols Formulas Measures Properties