Example: Sets of Ordered Pairs as a Mathematical Function
Consider the relation defined by the set of ordered pairs: . We can determine if this relation is a mathematical function by examining its coordinates. Each -value is matched with only one -value, so this relation is a function. The domain is the set of all unique -values: , and the range is the set of all unique -values: .
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Example: Sets of Ordered Pairs as a Mathematical Function
Example: Sets of Ordered Pairs Not Representing a Mathematical Function
Example: Finding the Domain and Range of the Relation
Example: Finding the Domain and Range of the Relation
Example: Finding the Domain and Range of the Relation
A warehouse manager records the aisle number and the total number of pallets stored in that aisle as a set of ordered pairs: . Which of the following sets represents the domain of this relation?
An IT technician logs the number of help desk tickets resolved and the hours spent working on them as a set of ordered pairs: . The domain of this relation is the set .
A retail manager tracks the number of hours a part-time employee works () and their total weekly earnings in dollars (). The data for three weeks is recorded as the following set of ordered pairs: . Match each mathematical term with the correct set representing that part of the relation.
Defining and Identifying the Range in Payroll Data
A training coordinator tracks the number of professional development modules an employee completes () and the total time spent in hours () as a set of ordered pairs: . In this mathematical relation, the set of all -values, , is known as the ____.
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In a workplace database tracking project assignments, each 'Project ID' (input) is paired with a 'Budget Amount' (output). Which of the following conditions must be met for this relation to be considered a mathematical function?
An operations analyst is reviewing a performance log that relates 'Task Complexity' (the input) to 'Resource Units Used' (the output). The log is represented by the following set of ordered pairs:
Match each mathematical term with the corresponding data set or rule from the log.
A technician is monitoring a system that outputs data as a set of ordered pairs: . This relation is correctly classified as a mathematical function because each unique input value is paired with exactly one output value.
Identifying Range in Professional Data Mapping
A logistics manager is reviewing a cost schedule where 'Zone ID' is the input and 'Handling Fee' is the output, represented by the set: . To verify that this relation is a mathematical function, arrange the following analytical steps in the correct order.