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1 Use the graph of y = f(x) to graph the function y=f(1-x). For each point for f(x), determine the corresponding point for y= 1 Point on f(x) Point on f(1-x) y = 1⁄f(1 − x). (-4,-1) (-3,3) (0,0) (1,2) (2,-2) (Type ordered pairs.) to y = f(x) Ay 10- M

1 Use the graph of y = f(x) to graph the function y=f(1-x). For each point for f(x), determine the corresponding point for y= 1 Point on f(x) Point on f(1-x) y = 1⁄f(1 − x). (-4,-1) (-3,3) (0,0) (1,2) (2,-2) (Type ordered pairs.) to y = f(x) Ay 10- M

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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--- **Use the graph of \( y = f(x) \) to graph the function \( y = \frac{1}{2} f(1 - x). \)** --- For each point for \( f(x) \), determine the corresponding point for \( y = \frac{1}{2} f(1 - x) \). | Point on \( f(x) \) | Point on \( \frac{1}{2} f(1 - x) \) | |---------------|----------------------------| | (−4, −1) | | | (−3, 3) | | | (0, 0) | | | (1, 2) | | | (2, −2) | | (Type ordered pairs.) --- ### Graph Description To the right, there is a Cartesian coordinate system with a graph \( y = f(x) \) plotted on it. The graph includes the following important information: - The x-axis ranges from -10 to 10. - The y-axis ranges from -10 to 10. - There are several marked points and a blue line connecting them to form the graph: - The graph passes through the following points: - (-5, 0) - (-3, 3) - (0, 0) - (3, 7) - (5, 4) The purpose is to use this graph to determine the corresponding points for the function \( y = \frac{1}{2} f(1 - x) \). ---
Transcribed Image Text:--- **Use the graph of \( y = f(x) \) to graph the function \( y = \frac{1}{2} f(1 - x). \)** --- For each point for \( f(x) \), determine the corresponding point for \( y = \frac{1}{2} f(1 - x) \). | Point on \( f(x) \) | Point on \( \frac{1}{2} f(1 - x) \) | |---------------|----------------------------| | (−4, −1) | | | (−3, 3) | | | (0, 0) | | | (1, 2) | | | (2, −2) | | (Type ordered pairs.) --- ### Graph Description To the right, there is a Cartesian coordinate system with a graph \( y = f(x) \) plotted on it. The graph includes the following important information: - The x-axis ranges from -10 to 10. - The y-axis ranges from -10 to 10. - There are several marked points and a blue line connecting them to form the graph: - The graph passes through the following points: - (-5, 0) - (-3, 3) - (0, 0) - (3, 7) - (5, 4) The purpose is to use this graph to determine the corresponding points for the function \( y = \frac{1}{2} f(1 - x) \). ---
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