In this article, we will provide a comprehensive answer key to Unit 3: Relations and Functions Homework 1. This homework focuses on understanding the concepts of relations, domain, range, and functions. We will break down each question and provide detailed explanations to help students understand the material.
Understanding Relations and Functions
A relation is a set of ordered pairs, where each pair consists of an input (x-value) and an output (y-value). A function is a special type of relation where each input corresponds to exactly one output. In other words, for every x-value, there is only one y-value.
Domain and Range
The domain of a function is the set of all possible x-values, while the range is the set of all possible y-values. To find the domain and range of a function, we need to look at the input and output values.
Example 1: Finding Domain and Range
Given the following ordered pairs: (-5, 4), (-4, -1), (-2, 1), (0, 4), (1, 3)
- Domain: -5, -4, -2, 0, 1
- Range: 4, -1, 1, 4, 3
Example 2: Finding Domain and Range
Given the following ordered pairs: (-3, -4), (-1, 2), (0, 0), (-3, 5), (2, 4)
- Domain: -3, -1, 0, -3, 2
- Range: -4, 2, 0, 5, 4
Homework 1 Answer Key
Here are the answers to the homework questions:
- Domain: -5, -4, -2, 0, 1; Range: 4, -1, 1, 4, 3
- Domain: -3, -1, 0, -3, 2; Range: -4, 2, 0, 5, 4
- Domain: -1, 2, 5, 6, 4; Range: 3, 0, 3, 1, -2
- Domain: 2, 2, -3, 0, 5; Range: 3, 5, -2, -5, -6
- Domain: All real numbers (R); Range: R
Graphing Relations and Functions
When graphing relations and functions, we need to consider the x and y values. The domain of the graph represents the x-values, while the range represents the y-values.
Example 3: Graphing a Relation
Given the graph, find the domain and range:
Domain: -6, 5; Range: -2, 3
We hope this article has been helpful in providing a clear and concise answer key to Unit 3: Relations and Functions Homework 1. For more information and practice problems, please refer to the Brainly website.
Download the Unit 3: Relations and Functions Homework 1 Answer Key PDF for free.