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Mapping Diagrams

Master mapping diagrams with interactive lessons and practice problems! Designed for students like you!

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Mapping Diagrams

Study Guide

Key Definition

A function is a special type of relation in which each element of the domain is paired with exactly one element in the range. A mapping diagram visually represents this relation.

Important Notes

Each element of the domain is paired with one element of the range.
A mapping diagram shows input and output values like a flow chart.
One-to-one mapping: each range element is paired with one domain element.
Many-to-one mapping: multiple domain elements are paired with the same range element.
One-to-many relations are not functions.

Mathematical Notation

$\rightarrow$ represents the mapping from domain to range

$f(x)$ denotes a function

$x^2$ represents x squared

$\frac{a}{b}$ represents a divided by b

$\sqrt{x}$ represents the square root of x

Remember to use proper notation when solving problems

Why It Works

Mapping diagrams help visualize the relationship between domain and range, clarifying how each input corresponds to an output.

Remember

In a function, each input from the domain is mapped to exactly one output in the range.

Quick Reference

Domain:$\text{all possible x-values}$

Range:$\text{all possible y-values}$

Understanding Mapping Diagrams

Choose your learning level

Watch & Learn

Video explanation of this concept

Beginner

Start here! Easy to understand

Beginner Explanation

A mapping diagram shows how each input is paired with one output.

Practice Problems

Test your understanding with practice problems

Quick Quiz

Single Choice Quiz

Beginner

What type of mapping is it when each range element is paired with exactly one domain element?

Real-World Problem

Question Exercise

Intermediate

Teenager Scenario

A student wants to map the number of hours they study to their test scores. How can they represent this as a function?

Thinking Challenge

Thinking Exercise

Intermediate

Think About This

If a function maps each x-value to multiple y-values, what type of relation is it?

Challenge Quiz

Single Choice Quiz

Advanced

Consider a mapping diagram where $x$ is paired with $2x^2 + 3$. What is the range if the domain is $\{-2, 0, 2\}$?

Recap

Watch & Learn

Review key concepts and takeaways