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6 5 4 f(x)=[ 3 2 1 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3 -5 -6 -7 1 2 3 4 5 6 LA 7 a

6 5 4 f(x)=[ 3 2 1 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3 -5 -6 -7 1 2 3 4 5 6 LA 7 a

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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### Graph Analysis and Explanation The provided graph is a plot with a piecewise linear function, which appears to resemble an absolute value function. The graph is drawn on a coordinate plane, with both the x-axis and y-axis marked with integers from -7 to 7. #### Graph Description: 1. **Graph Structure:** - The graph displays two linear segments forming an inverted "V" shape. - The vertex of the "V" is at the point (3, -3). 2. **Segments Details:** - The left segment of the "V" starts from approximately the point (-3, -7), ascending to the vertex (3, -3). - The right segment descends from the vertex (3, -3) to about the point (9, -7). 3. **General Form:** - The shape suggests a modification of the absolute value function \( f(x) = |x| \), shifted downward and horizontally. 4. **Input Field:** - There is an input box labeled \( f(x) = \_\_\_ \) for users to enter the function represented by the graph. #### Function Characteristics: - **Vertex:** The minimum point of the absolute value shape is at (3, -3), indicating that if the graph represents \( f(x) = |x| \), it has been shifted 3 units to the right and 3 units down. - **Functional Equation:** The equation might resemble \( f(x) = -|x - 3| - 3 \), assuming a direct linear transformation centered at (3, -3). Users are encouraged to use this graph to better understand transformations of absolute functions and practice identifying piecewise functions based on visual data.
Transcribed Image Text:### Graph Analysis and Explanation The provided graph is a plot with a piecewise linear function, which appears to resemble an absolute value function. The graph is drawn on a coordinate plane, with both the x-axis and y-axis marked with integers from -7 to 7. #### Graph Description: 1. **Graph Structure:** - The graph displays two linear segments forming an inverted "V" shape. - The vertex of the "V" is at the point (3, -3). 2. **Segments Details:** - The left segment of the "V" starts from approximately the point (-3, -7), ascending to the vertex (3, -3). - The right segment descends from the vertex (3, -3) to about the point (9, -7). 3. **General Form:** - The shape suggests a modification of the absolute value function \( f(x) = |x| \), shifted downward and horizontally. 4. **Input Field:** - There is an input box labeled \( f(x) = \_\_\_ \) for users to enter the function represented by the graph. #### Function Characteristics: - **Vertex:** The minimum point of the absolute value shape is at (3, -3), indicating that if the graph represents \( f(x) = |x| \), it has been shifted 3 units to the right and 3 units down. - **Functional Equation:** The equation might resemble \( f(x) = -|x - 3| - 3 \), assuming a direct linear transformation centered at (3, -3). Users are encouraged to use this graph to better understand transformations of absolute functions and practice identifying piecewise functions based on visual data.
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