Example: Finding the Domain and Range of the Relation
Consider the relation defined by the set of ordered pairs: . The domain is defined as the set of all unique -coordinates from these pairs, which gives . The range is defined as the set of all unique -coordinates, resulting in .
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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.
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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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A data analyst at a marketing firm is tracking the growth of a client's social media account over its first five months. The relationship between the month number and the total followers (in thousands) is recorded as the following relation: . Based on this data, which set represents the domain of the relation?
A data center technician monitors the power consumption of a server rack as more processors are activated. The relationship between the number of active processors () and the energy usage (, in units) is recorded as the relation: .
True or False: The range of this relation is the set .
A logistics coordinator is calculating the storage capacities for five different cubic crates used in a warehouse. The relationship between the side length of each crate in meters () and its total volume in cubic meters () is recorded as the relation: . Match each mathematical description of this data set with its corresponding set or value.
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