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Example: Finding Domain and Range from the Graph of a Function (Variant 2)
Consider a function graphed as a curved line segment traversing through the points , , and . The domain is determined by finding all the -values that correspond to a point on the graph. Since the graph extends horizontally from to , the domain in interval notation is . The range is determined by finding all the -values associated with the graph. The lowest vertical point is at and the highest is at , so the range in interval notation is .
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Intermediate Algebra @ OpenStax
Ch.3 Graphs and Functions - Intermediate Algebra @ OpenStax
Algebra
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Example: Finding Domain and Range from the Graph of a Function (Variant 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.
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As a financial analyst, you are reviewing a continuous graph showing a company's cash flow over a specific project timeline. The graph is a continuous curved line segment that traverses through the points , , and , where the -axis represents the time in months and the -axis represents the cash flow in thousands of dollars. Recalling the definitions of domain and range from a graph, what is the domain and range of this cash flow function in interval notation?
A logistics manager is reviewing a fuel consumption variance report for a specific delivery route. The variance is represented by a function graphed as a curved line segment passing through the points , , and . Match each characteristic of the consumption function to its correct interval notation based on these coordinates.
A manufacturing engineer is analyzing a performance report where the deviation of a component is graphed as a continuous curved line segment passing through the coordinates , , and . True or False: Recalling the vertical boundaries of this data, the range of the deviation function in interval notation is .
HVAC Temperature Data Domain Analysis
Production Sensor Boundary Verification