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-5-4-3-2 5 4+ 3- 2+ 1 1 -2+ -3- -4- -5 1 2 3 4 5 X What is the domain of all real numbers all real numbers all real numbers c all real numbers c

-5-4-3-2 5 4+ 3- 2+ 1 1 -2+ -3- -4- -5 1 2 3 4 5 X What is the domain of all real numbers all real numbers all real numbers c all real numbers c

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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What is the domain of the function on this graph?
### Understanding the Domain of a Function #### Graph Analysis The image shows a graph of a function on a coordinate plane. The function is plotted with respect to the x-axis (horizontal) and y-axis (vertical). The following observations can be made from the graph: - The graph features a continuous line that starts from a certain point and extends in both positive and negative directions along the x-axis. - We can see that the graph starts at the point (-3, -1) with a dotted circle indicating a specific start point, then it continues to extend upwards and to the right indefinitely. #### Question: **What is the domain of this function?** #### Answer Choices: - All real numbers - All real numbers greater than 0 - All real numbers greater than or equal to -3 - All real numbers greater than or equal to 0 The correct answer is selected as: - All real numbers greater than or equal to -3 This means that the function is defined for all x values starting from -3 and extending to positive infinity. #### Explanation: The domain of a function refers to all possible input values (x-values) for which the function is defined. In this case, we see that the function is not defined for any x-value less than -3. Therefore, the domain includes all x-values greater than or equal to -3. #### Note: If you have any doubts or require further explanation, please refer to your textbook or contact your instructor.
Transcribed Image Text:### Understanding the Domain of a Function #### Graph Analysis The image shows a graph of a function on a coordinate plane. The function is plotted with respect to the x-axis (horizontal) and y-axis (vertical). The following observations can be made from the graph: - The graph features a continuous line that starts from a certain point and extends in both positive and negative directions along the x-axis. - We can see that the graph starts at the point (-3, -1) with a dotted circle indicating a specific start point, then it continues to extend upwards and to the right indefinitely. #### Question: **What is the domain of this function?** #### Answer Choices: - All real numbers - All real numbers greater than 0 - All real numbers greater than or equal to -3 - All real numbers greater than or equal to 0 The correct answer is selected as: - All real numbers greater than or equal to -3 This means that the function is defined for all x values starting from -3 and extending to positive infinity. #### Explanation: The domain of a function refers to all possible input values (x-values) for which the function is defined. In this case, we see that the function is not defined for any x-value less than -3. Therefore, the domain includes all x-values greater than or equal to -3. #### Note: If you have any doubts or require further explanation, please refer to your textbook or contact your instructor.
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