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6- 3- -7 -6 -5 -4 -2 4 6 7 -5- -6- -7

6- 3- -7 -6 -5 -4 -2 4 6 7 -5- -6- -7

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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Determine the intervals in which the function is strictly decreasing
### Graph Description This image depicts a line graph plotted on a coordinate plane. The x-axis and y-axis are both labeled with integer values ranging from -7 to 7. The plotted graph consists of points connected by straight lines. #### Detailed Explanation of the Graph: 1. **Points and Coordinates:** - The graph has several key points, represented as blue dots, connected by line segments. - Starting from the left, the points are approximately at the following coordinates: - (-5, 5) - (-2, 5) - (0, 1) - (2, -2) - (5, -2) - (6, 4) - (7, 1) 2. **Line Segments:** - The first line segment connects the points (-5, 5) and (-2, 5), forming a horizontal line. - The second segment descends steeply from (-2, 5) to (0, 1). - The third segment descends further to the point (2, -2). - From (2, -2) to (5, -2), the line remains horizontal. - The next segment rises up sharply to (6, 4). - Finally, the last segment declines to the point (7, 1). 3. **Graph Characteristics:** - The graph features a mix of horizontal and sloping lines. - This might represent a function or data trend where there are sudden increases and decreases in values over a range. This graph can be used to study how a particular variable behaves over different intervals, with notable increases and decreases. It provides visual insights into changes and trends for further analysis.
Transcribed Image Text:### Graph Description This image depicts a line graph plotted on a coordinate plane. The x-axis and y-axis are both labeled with integer values ranging from -7 to 7. The plotted graph consists of points connected by straight lines. #### Detailed Explanation of the Graph: 1. **Points and Coordinates:** - The graph has several key points, represented as blue dots, connected by line segments. - Starting from the left, the points are approximately at the following coordinates: - (-5, 5) - (-2, 5) - (0, 1) - (2, -2) - (5, -2) - (6, 4) - (7, 1) 2. **Line Segments:** - The first line segment connects the points (-5, 5) and (-2, 5), forming a horizontal line. - The second segment descends steeply from (-2, 5) to (0, 1). - The third segment descends further to the point (2, -2). - From (2, -2) to (5, -2), the line remains horizontal. - The next segment rises up sharply to (6, 4). - Finally, the last segment declines to the point (7, 1). 3. **Graph Characteristics:** - The graph features a mix of horizontal and sloping lines. - This might represent a function or data trend where there are sudden increases and decreases in values over a range. This graph can be used to study how a particular variable behaves over different intervals, with notable increases and decreases. It provides visual insights into changes and trends for further analysis.
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