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Finding the Domain and Range from a Set of Ordered Pairs
To find the domain and range of a relation given as a set of ordered pairs, extract the individual coordinates from the pairs. The domain is the set of all the -values, while the range is the set of all the -values. For example, given the relation {(1, 1), (2, 4), (3, 9)}, the domain is the set {1, 2, 3} and the range is the set {1, 4, 9}.
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Intermediate Algebra @ OpenStax
Ch.3 Graphs and Functions - Intermediate Algebra @ OpenStax
Algebra
Related
Identifying Coordinates of a Point on a Graph
Solution of a Linear Equation in Two Variables
Subscript Notation for Coordinate Points
A logistics company uses a rectangular coordinate system to track the location of delivery vehicles on a map. If a vehicle is located at the ordered pair (15, 8), what is the mathematical term for the first number, 15, which indicates the vehicle's horizontal position?
A warehouse manager uses a coordinate grid to map the location of storage bins. Match each term related to the bin location (15, 22) with its correct mathematical description.
In a digital mapping system used for fleet management, the term 'ordered' in an 'ordered pair' implies that reversing the sequence of the two numbers will generally identify a different location on the map.
Digital Layout and Coordinate Systems
A logistics coordinator is mapping delivery zones on a coordinate grid. A specific zone is centered at the point (15, 22). In this ordered pair, the number 22, which indicates the vertical position on the map, is called the ________.
Understanding Ordered Pairs in Logistics Mapping
Warehouse Inventory Mapping
A fleet manager is entering the grid location of a delivery vehicle into a logistics database using the standard format for an ordered pair. Arrange the following components in the correct sequence as they must be written from left to right.
A facility manager uses a digital layout to track equipment locations across a warehouse floor. In this context, what is the formal mathematical name for the two-dimensional grid system where positions are identified using ordered pairs (x, y)?
A logistics company uses a rectangular coordinate grid to track the location of inventory within a warehouse. In this mathematical system, what is the primary function of an ordered pair such as (15, 8)?
Sign Patterns of the Quadrants
Relation
Domain of a Relation
Range of a Relation
Finding the Domain and Range from a Set of Ordered Pairs
Mapping of a Relation
Determining a Relation from a Mapping
Ordered Triple
Linear Equation in Three Variables
Origin in the Rectangular Coordinate System
Plotting a Point on a Rectangular Coordinate System
In the ordered pair , what does the number represent in the rectangular coordinate system?
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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)}
Example: Finding the Domain and Range of the Relation {(1,1), (2,8), (3,27), (4,64), (5,125)}
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.
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: {(3, 12), (5, 20), (2, 8)}. In this mathematical relation, the set of all -values, {12, 20, 8}, is known as the ____.
Equipment Rental Data Analysis