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Use the graph to find the domain of the function. S

Use the graph to find the domain of the function. S

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Transcription for Educational Website:** **Title: Determining the Domain of a Function Using Its Graph** The task is to use the graph to find the domain of the function. **Graph Analysis:** The graph is a plot of a function across a rectangular coordinate system, where the x-axis represents the input values (domain) and the y-axis represents the output values (range). - **Behavior of the Function:** - The function appears to start at \( x = 0 \). - It moves upwards, displaying a smooth curve with a significant increase around \( x = 4 \). - Past \( x = 4 \), the function gradually levels out and continues to increase at a slower rate. - **Domain of the Function:** - The function begins from \( x = 2 \) and extends to the right indefinitely, suggesting that the domain is all values of \( x \) for which \( x \geq 2 \). **Conclusion:** - **Domain:** The function is defined for all \( x \) such that \( x \geq 2 \). Understanding the domain of a function is crucial as it helps in analyzing the input range for which the function is valid and can generate meaningful output.
Transcribed Image Text:**Transcription for Educational Website:** **Title: Determining the Domain of a Function Using Its Graph** The task is to use the graph to find the domain of the function. **Graph Analysis:** The graph is a plot of a function across a rectangular coordinate system, where the x-axis represents the input values (domain) and the y-axis represents the output values (range). - **Behavior of the Function:** - The function appears to start at \( x = 0 \). - It moves upwards, displaying a smooth curve with a significant increase around \( x = 4 \). - Past \( x = 4 \), the function gradually levels out and continues to increase at a slower rate. - **Domain of the Function:** - The function begins from \( x = 2 \) and extends to the right indefinitely, suggesting that the domain is all values of \( x \) for which \( x \geq 2 \). **Conclusion:** - **Domain:** The function is defined for all \( x \) such that \( x \geq 2 \). Understanding the domain of a function is crucial as it helps in analyzing the input range for which the function is valid and can generate meaningful output.
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