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Example: Graphing the Function
To graph the function , we select a range of -values to determine their corresponding -values. Substituting -values such as , , , , , , and into the function yields the -values , , , , , , and . Plotting these ordered pairs on a coordinate plane and connecting them produces a downward-opening V-shaped graph.
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Intermediate Algebra @ OpenStax
Ch.3 Graphs and Functions - Intermediate Algebra @ OpenStax
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Example: Graphing the Function
A machinist is programming a CNC router to cut a symmetrical V-shaped groove defined by the function . Based on the standard properties of this function, at what coordinate point on the machine's grid will the 'vertex' (the lowest point of the groove) be located?
To graph the absolute value function , a student must follow several steps. Arrange the following actions in the correct order to successfully plot the function based on the procedure described.
In a manufacturing quality control process, a technician uses the absolute value function to calculate the deviation of a part's measurement from the standard. Based on the properties of this function, match each term with its corresponding output or characteristic.
A quality control technician uses the absolute value function to calculate the deviation of a component's width from the standard. True or False: Based on the properties of this function, all output values plotted on the graph will be non-negative.
During a technical training session on blueprint reading, an apprentice is mapping out basic mathematical models used in part design. When plotting the coordinates for both positive and negative values of the function , the resulting graph creates a symmetrical ____-shaped pattern.
Learn After
As part of your foundational math training for interpreting data models, you are asked to review the graph of the function . Based on plotting its calculated ordered pairs, what is the resulting shape of this graph?
As a data entry specialist verifying a spreadsheet of coordinates for a graphing project, you must ensure that each input and output for the function is correct. Match each -value input with its corresponding -value output based on the point-plotting method described in your training.
In your role as a data technician, you are verifying a model using the function . According to the point-plotting method described in your training, substituting into this function results in a -value of 3.
In your role as a data visualization specialist, you are documenting the manual verification process used to double-check automated graphing models. Arrange the following steps in the correct order to graph the function using the point-plotting method as described in your technical manual.
During your technical training on data visualization, you are instructed to manually plot the baseline model for the function by substituting a range of -values to find their corresponding -values. When you plot these ordered pairs on a coordinate plane and connect them, it produces a ____-opening V-shaped graph.