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-1 The graph of y= -1 1 -2 -5+ 5 4 3 f(x) is shown below. 5 6 8 9

-1 The graph of y= -1 1 -2 -5+ 5 4 3 f(x) is shown below. 5 6 8 9

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question

Refer to image below to evaluate to find find integral of upper integral 9 and lower integral 0

**Graph of \( y = f(x) \)** The graph depicted is a linear graph consisting of two segments: 1. The first segment is a straight line starting at the coordinate point \((0, 3)\) and continuing downwards to approximately \((4, -3)\). 2. The second segment is a horizontal line starting at \((4, -3)\) and extending to the coordinate point \((9, -3)\). **Graph Details:** - **X-Axis:** The horizontal axis ranges from 0 to 9. - **Y-Axis:** The vertical axis ranges from -5 to 5. - **Key Features:** - The slope of the first segment shows a decrease in the \( y \)-value as the \( x \)-value increases, indicating a negative slope. - The second segment is parallel to the x-axis, signifying a slope of zero. - **Intercepts:** - The graph intercepts the y-axis at \((0, 3)\). This graph allows us to understand how the function \( f(x) \) behaves over the domain from 0 to 9, with a change in slope occurring at \( x = 4 \).
Transcribed Image Text:**Graph of \( y = f(x) \)** The graph depicted is a linear graph consisting of two segments: 1. The first segment is a straight line starting at the coordinate point \((0, 3)\) and continuing downwards to approximately \((4, -3)\). 2. The second segment is a horizontal line starting at \((4, -3)\) and extending to the coordinate point \((9, -3)\). **Graph Details:** - **X-Axis:** The horizontal axis ranges from 0 to 9. - **Y-Axis:** The vertical axis ranges from -5 to 5. - **Key Features:** - The slope of the first segment shows a decrease in the \( y \)-value as the \( x \)-value increases, indicating a negative slope. - The second segment is parallel to the x-axis, signifying a slope of zero. - **Intercepts:** - The graph intercepts the y-axis at \((0, 3)\). This graph allows us to understand how the function \( f(x) \) behaves over the domain from 0 to 9, with a change in slope occurring at \( x = 4 \).
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