Example: Reading the Domain and Range from the Graph of a Function
Consider a graph of a function consisting of a curved line segment. To find the domain, observe the horizontal spread of the graphed curve on the -axis. If the graph covers -values from to inclusive, the domain written in interval notation is . Similarly, to find the range, observe the vertical spread of the curve on the -axis. If the graph's lowest point corresponds to a -value of and its highest point reaches a -value of , the range in interval notation is .
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Intermediate Algebra @ OpenStax
Ch.3 Graphs and Functions - Intermediate Algebra @ OpenStax
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A logistics coordinator is reviewing a graph that tracks the fuel level of a delivery truck over a 10-hour shift. To identify which specific time values () are included in the domain of this function, what visual check must be performed on the graph?
A marketing manager is analyzing a graph that shows website traffic () over several weeks (). To find the domain of this function from the graph, the manager must identify all the values on the ____ axis that correspond to at least one point on the graph.
A quality control manager is using a graph to monitor the power output of a generator during an 8-hour shift. To determine if a specific time value () is included in the domain of the power function based on the graph, arrange the following visual steps in the correct order.
A quality control manager is training a new employee to interpret performance graphs. Match each term related to reading the domain of a function with its correct visual description on the graph.
A project manager is analyzing a graph that tracks the progress of a construction project over time. According to the visual method for finding the domain, if a vertical path from a specific time () intersects the graph of the function, then that -value is mathematically included in the domain.
Telemetry Data Guide
Reading Temperature Telemetry Graphs
Example: Reading Properties from a Periodic Wavy Graph
Example: Reading the Domain and Range from the Graph of a Function
Example: Finding Domain and Range from the Graph of a Curve from x = -5 to x = 1
Example: Finding Domain and Range from the Graph of a Function (Variant 2)
A quality control technician is using a graph to track the temperature of a machine over an eight-hour shift. According to the visual method for determining the range of a function from its graph, which action confirms that a specific temperature value is included in the range?
A network administrator is reviewing a graph that shows the latency (in milliseconds) of a server over a 24-hour period. To find the range of latency values, the administrator must determine which millisecond levels were recorded by the system. Arrange the following steps in the correct order to visually confirm if a specific latency value is part of the function's range.
Identifying the Axis for Sales Range
A laboratory technician is interpreting a graph that shows the concentration of a chemical over an eight-hour shift. Match each component of the visual process for finding the range of the concentration function with its correct role.
A logistics manager is analyzing a graph that models the daily delivery costs (-values) for a fleet of trucks. True or False: To verify if a specific cost amount is included in the range of the function, the manager should visually follow that -value left or right horizontally to see if the path intersects the graph.
An inventory specialist is reviewing a graph that tracks the number of units stored in a warehouse over a given month. To visually determine if a specific storage quantity is part of the function's range, the specialist must select the corresponding -value and follow a path left or right ____ to see if it intersects the graph.
Utility Load Chart Analysis
Example: Reading Properties from a Periodic Wavy Graph
Example: Reading the Domain and Range from the Graph of a Function
Example: Finding Domain and Range from the Graph of a Curve from x = -5 to x = 1
Learn After
In a professional technical training session, an instructor asks you to identify the components of a machine's performance graph. Match each mathematical term with the correct observation needed to find it on the graph.
A quality control technician is examining a graph that monitors the pressure levels in a hydraulic press throughout a work shift. According to the standard procedure for reading graphs, to identify the range of the pressure levels recorded, which visual characteristic of the graph must be observed?
A data analyst is reviewing a performance graph in a technical report. According to the standard procedure for graph interpretation, the analyst should identify the range of the function by observing the horizontal spread of the curve along the -axis.
Interpreting System Performance Graphs
When reviewing a machine's performance graph in a quality control report, an analyst needs to determine the horizontal spread of the graphed curve on the -axis. By identifying this horizontal spread, the analyst is finding the ____ of the function.
Standard Operating Procedure for Extracting Graph Limits
As a quality control technician at an electronics manufacturing plant, you are reviewing a graph that tracks the temperature of a soldering machine over a production cycle. To ensure the machine operates within safe limits, you need to determine the domain of the temperature function shown on the graph. According to the company's standard operating procedure, arrange the steps below in the correct order to find and record the domain from the graph.