Example: Finding the Domain and Range of the Relation {(1,3), (2,6), (3,9), (4,12), (5,15)}
For the relation given by the set {(1,3), (2,6), (3,9), (4,12), (5,15)}, the domain is identified by listing the first elements of each ordered pair. Since the -values are , , , , and , the domain is {1, 2, 3, 4, 5}. The range is found by listing the second elements. The corresponding -values are , , , , and , so the range is {3, 6, 9, 12, 15}.
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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 {(1,1), (2,4), (3,9), (4,16), (5,25)}
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Example: Finding the Domain and Range of the Relation {(1,3), (2,6), (3,9), (4,12), (5,15)}
A warehouse manager records the aisle number and the total number of pallets stored in that aisle as a set of ordered pairs: {(12, 45), (15, 30), (18, 55)}. 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: {(12, 4), (18, 6), (9, 3)}. The domain of this relation is the set {4, 6, 3}.
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: {(12, 180), (15, 225), (20, 300)}. 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: {(3, 12), (5, 20), (2, 8)}. In this mathematical relation, the set of all -values, {12, 20, 8}, is known as the ____.
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A supply chain analyst is reviewing a machine performance log. The data is presented as a set of ordered pairs representing (hours of machine operation, thousands of units packaged): {(1, 3), (2, 6), (3, 9), (4, 12), (5, 15)}. To accurately configure the tracking software, you must identify the domain and the range of this specific dataset based on mathematical definitions. Which of the following correctly lists the domain and the range?
A retail inventory manager tracks the relationship between the number of item cases received and the total weight of the shipment in pounds. The data for five recent shipments is recorded as the relation: {(1, 3), (2, 6), (3, 9), (4, 12), (5, 15)}. Match each mathematical term with the specific set of values it represents in this dataset.
A small business owner tracks the relationship between the number of custom products sold and the total profit earned in dollars, resulting in the relation P = {(1, 3), (2, 6), (3, 9), (4, 12), (5, 15)}. True or False: The set {1, 2, 3, 4, 5} represents the range of this relation.
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A shipping coordinator tracks the relationship between the number of priority packages handled and the total weight in pounds for five separate shipments: W = {(1, 3), (2, 6), (3, 9), (4, 12), (5, 15)}. In the context of this relation, the set of output values {3, 6, 9, 12, 15} is mathematically defined as the ____ of the relation.
A warehouse logistics supervisor is documenting a productivity log for the packaging department. The supervisor tracks the relationship between the number of active team shifts () and the thousands of packages shipped () using the relation: S = {(1,3), (2,6), (3,9), (4,12), (5,15)}. Arrange the steps in the correct order to systematically identify and document the domain and the range of this relation.
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