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rt Answer 1. Substitute x = -1 for the equation x - y - 4y +31 and solve for y. Repeat for x - 10. Does the relation appear to be a function? Explain your reasoning. A 2. Consider the function f

rt Answer 1. Substitute x = -1 for the equation x - y - 4y +31 and solve for y. Repeat for x - 10. Does the relation appear to be a function? Explain your reasoning. A 2. Consider the function f

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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rt Answer Chapter 1 Assignment 1. Substitute x=-1 for the equation = -- -y² - 4y + 31 and solve for y. Repeat for x = 10. Does the relation appear to be a function? Explain your reasoning. 2. Consider the functions f(x) = and g(x)= Determine (2)-(3) 3. Consider the function (d)-3d²-2d-11. Create a table of values to determine (-2), (-1),(0), (1), and (2). oblem Name: 4. Determine the range of the function f(x)= 3x² - 6x-5 if the domain is (-4,-1.2, 0.6, 5, 7,8). 5. For k(x)=x-6, determine k '(8). 6. Explain what transformations you would need to apply to the graph of y=f(x) to graph the function y = - - - √ ( + x + 6) - 7. 7. Given f(x) = k (3-x), find the value of k if (6) = 1. 8. Given the function f(x) = |x|, write the equation for g(x) after the following transformations: horizontal compression by the factor 1⁄2 vertical stretch by the factor 3 reflection in the x-axis reflection in the y-axis translation 3 units right and 4 units up Then sketch a graph of your function and determine the domain and range of the function.
Transcribed Image Text:rt Answer Chapter 1 Assignment 1. Substitute x=-1 for the equation = -- -y² - 4y + 31 and solve for y. Repeat for x = 10. Does the relation appear to be a function? Explain your reasoning. 2. Consider the functions f(x) = and g(x)= Determine (2)-(3) 3. Consider the function (d)-3d²-2d-11. Create a table of values to determine (-2), (-1),(0), (1), and (2). oblem Name: 4. Determine the range of the function f(x)= 3x² - 6x-5 if the domain is (-4,-1.2, 0.6, 5, 7,8). 5. For k(x)=x-6, determine k '(8). 6. Explain what transformations you would need to apply to the graph of y=f(x) to graph the function y = - - - √ ( + x + 6) - 7. 7. Given f(x) = k (3-x), find the value of k if (6) = 1. 8. Given the function f(x) = |x|, write the equation for g(x) after the following transformations: horizontal compression by the factor 1⁄2 vertical stretch by the factor 3 reflection in the x-axis reflection in the y-axis translation 3 units right and 4 units up Then sketch a graph of your function and determine the domain and range of the function.
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