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a) f(x) = - 3(2") %3D b) g(x) (2') 4

a) f(x) = - 3(2") %3D b) g(x) (2') 4

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
Stretches, Compressions and Reflections Vertical Stretch/ Compression: y = af(x), stretch or compress by a factor 'a' Vertical Reflection/x-axis: y = -f(x) Horizontal Stretch/ Compression: y = f(kx), stretch or compress by a factor of '17k Horizontal Reflection/y-axis: y = f(-x) Example: Sketch the graph of the following functions using the graph of y = 2* as the base. State the transformation applied to the base function, the equation of the asymptote, and the domain and range. a) f(x) = – 3(2') b) g(x) = -(2") Domain Range Equation of Asymptote Function Transformation(s) on the Base Function y = 0 {xe R} {ye R, y)0} none y = 2* f(x) = - 3(2) 8(x) =
Transcribed Image Text:Stretches, Compressions and Reflections Vertical Stretch/ Compression: y = af(x), stretch or compress by a factor 'a' Vertical Reflection/x-axis: y = -f(x) Horizontal Stretch/ Compression: y = f(kx), stretch or compress by a factor of '17k Horizontal Reflection/y-axis: y = f(-x) Example: Sketch the graph of the following functions using the graph of y = 2* as the base. State the transformation applied to the base function, the equation of the asymptote, and the domain and range. a) f(x) = – 3(2') b) g(x) = -(2") Domain Range Equation of Asymptote Function Transformation(s) on the Base Function y = 0 {xe R} {ye R, y)0} none y = 2* f(x) = - 3(2) 8(x) =
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