Topic 3: Defining and Comparing Functions

3-1: Recognizing a Function

Part 1

Intro

Any set of ordered pairs is called a relation.

{(0, 0), (1, 8), (2, 16), (3, 24), (4, 32)}

The input values are the x-coordinates.

The output values are the y-coordinates.

A mapping diagram, with arrows pointing from the input values to the output values.

A mapping diagram describes a relationship by linking the input values to the corresponding output values using arrows.

A mapping diagram, with arrows pointing from the input values to the output values.

Example Matching Ordered Pairs and Mapping Diagrams

Write the set of ordered pairs that corresponds to each mapping diagram.

  • a. A mapping diagram.

  • b. A mapping diagram.

  • c. A mapping diagram.

Solution

  • a. {(−2, 3), (−1, 2), (0, 1), (1, 0)}

  • b. {(0, 1), (1, 2), (2, 2), (3, 4)}

  • c. {(1, −1), (1, 1), (4, 2), (4, −2)}


End ofPage 91

Table of Contents

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