Example: Sets of Ordered Pairs Not Representing a Mathematical Function
Consider the relation given by the set of ordered pairs: . To determine if this relation is a mathematical function, we inspect the coordinates. The -value is matched with two different -values ( and ), and the -value is matched with two different -values ( and ). Because an -value corresponds to more than one -value, this relation is not a function. The domain is and the range is .
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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 ____.
Learn After
You are auditing a newly implemented HR database that links employee ID numbers (-values) to their assigned department codes (-values) using ordered pairs. During the audit, you review the following data set: . Recalling the definition of mathematical functions, what is the specific reason this set of ordered pairs does NOT represent a function?
A manufacturing supervisor records part data in a quality control log where the Part ID is the input () and the weight in grams is the output (). The log contains the ordered pairs and . True or False: This relation represents a mathematical function.
Auditing a Human Resources Database
As a Quality Control Auditor for a manufacturing database, you are verifying if the Part IDs () and their measured Tolerance Deviations () represent a mathematical function. Use your recall of function definitions to match the following terms with the correct descriptions based on this specific audit log: .
A financial analyst is reviewing a set of price changes () relative to a baseline index (), recorded as the set of ordered pairs: . According to the definition of a mathematical function, this data set is not a function because the index value 9 is associated with two different price changes (-3 and 3), and the index value 4 is associated with both -2 and ____.