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The image shows a Cartesian plane with two separate graphs. ### Graph 1: - **Characteristics**: This graph appears as a combination of a linear and a curvilinear function that starts from the top left quadrant and moves to the right. - **Description**: - The graph begins at approximately y = 5 at x = -7 and descends into a sharp V-like dip around x = -4.5. - It then rises to a peak near x = -3 and dips again before increasing to a point roughly at (1.5, 0), where there is a solid black dot, indicating the endpoint of this segment. - Before this endpoint, the graph has a saddle point or moderate peak near x = -1 and dips slightly before reaching the end. ### Graph 2: - **Characteristics**: A horizontal line segment; it includes endpoints that are circles. - **Description**: - This line spans from x = -5 to x = 4 on the y = 0 line. - The endpoints (at x = -5 and x = 4) are marked with open circles, indicating these endpoints are not included in the interval defined by the line segment. ### Additional Information: - Both graphs are plotted over a grid, providing clear intersection points for reference. - The x-axis and y-axis both range from -7 to 7, with units marked along them. - The black dot in the first graph suggests the endpoint of the function, contrasting with the open circles in the second graph, which indicate that these points are not included in the function's interval on the x-axis. This graph can be used to explore concepts of function continuity, endpoints, and interval notation in educational contexts.

The image shows a Cartesian plane with two separate graphs. ### Graph 1: - **Characteristics**: This graph appears as a combination of a linear and a curvilinear function that starts from the top left quadrant and moves to the right. - **Description**: - The graph begins at approximately y = 5 at x = -7 and descends into a sharp V-like dip around x = -4.5. - It then rises to a peak near x = -3 and dips again before increasing to a point roughly at (1.5, 0), where there is a solid black dot, indicating the endpoint of this segment. - Before this endpoint, the graph has a saddle point or moderate peak near x = -1 and dips slightly before reaching the end. ### Graph 2: - **Characteristics**: A horizontal line segment; it includes endpoints that are circles. - **Description**: - This line spans from x = -5 to x = 4 on the y = 0 line. - The endpoints (at x = -5 and x = 4) are marked with open circles, indicating these endpoints are not included in the interval defined by the line segment. ### Additional Information: - Both graphs are plotted over a grid, providing clear intersection points for reference. - The x-axis and y-axis both range from -7 to 7, with units marked along them. - The black dot in the first graph suggests the endpoint of the function, contrasting with the open circles in the second graph, which indicate that these points are not included in the function's interval on the x-axis. This graph can be used to explore concepts of function continuity, endpoints, and interval notation in educational contexts.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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graph the derivative 

The image shows a Cartesian plane with two separate graphs. ### Graph 1: - **Characteristics**: This graph appears as a combination of a linear and a curvilinear function that starts from the top left quadrant and moves to the right. - **Description**: - The graph begins at approximately y = 5 at x = -7 and descends into a sharp V-like dip around x = -4.5. - It then rises to a peak near x = -3 and dips again before increasing to a point roughly at (1.5, 0), where there is a solid black dot, indicating the endpoint of this segment. - Before this endpoint, the graph has a saddle point or moderate peak near x = -1 and dips slightly before reaching the end. ### Graph 2: - **Characteristics**: A horizontal line segment; it includes endpoints that are circles. - **Description**: - This line spans from x = -5 to x = 4 on the y = 0 line. - The endpoints (at x = -5 and x = 4) are marked with open circles, indicating these endpoints are not included in the interval defined by the line segment. ### Additional Information: - Both graphs are plotted over a grid, providing clear intersection points for reference. - The x-axis and y-axis both range from -7 to 7, with units marked along them. - The black dot in the first graph suggests the endpoint of the function, contrasting with the open circles in the second graph, which indicate that these points are not included in the function's interval on the x-axis. This graph can be used to explore concepts of function continuity, endpoints, and interval notation in educational contexts.
Transcribed Image Text:The image shows a Cartesian plane with two separate graphs. ### Graph 1: - **Characteristics**: This graph appears as a combination of a linear and a curvilinear function that starts from the top left quadrant and moves to the right. - **Description**: - The graph begins at approximately y = 5 at x = -7 and descends into a sharp V-like dip around x = -4.5. - It then rises to a peak near x = -3 and dips again before increasing to a point roughly at (1.5, 0), where there is a solid black dot, indicating the endpoint of this segment. - Before this endpoint, the graph has a saddle point or moderate peak near x = -1 and dips slightly before reaching the end. ### Graph 2: - **Characteristics**: A horizontal line segment; it includes endpoints that are circles. - **Description**: - This line spans from x = -5 to x = 4 on the y = 0 line. - The endpoints (at x = -5 and x = 4) are marked with open circles, indicating these endpoints are not included in the interval defined by the line segment. ### Additional Information: - Both graphs are plotted over a grid, providing clear intersection points for reference. - The x-axis and y-axis both range from -7 to 7, with units marked along them. - The black dot in the first graph suggests the endpoint of the function, contrasting with the open circles in the second graph, which indicate that these points are not included in the function's interval on the x-axis. This graph can be used to explore concepts of function continuity, endpoints, and interval notation in educational contexts.
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