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Graph the function in its entirety with its corresponding colors. Function (Black) Asymptoles (Red) Plot relative maximums and minimums (Orange)

Graph the function in its entirety with its corresponding colors. Function (Black) Asymptoles (Red) Plot relative maximums and minimums (Orange)

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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Graph the function in its entirety with its corresponding colors. (--) + 1 Function Black) Asymptoles (Red) Plot relative maximums and minimums (Orange)
Transcribed Image Text:Graph the function in its entirety with its corresponding colors. (--) + 1 Function Black) Asymptoles (Red) Plot relative maximums and minimums (Orange)
Expert Solution
Step 1

Transformation of the graph of a function is f(x)

-f(x) reflects f(x) over x -axis
f(-x)

reflect f(x) over the y-axis
f(x)+k shift  f(x)up k units 
f(x)-k shift f(x) down k units
f(x+k) shifts  f(x) left k units 
f(x-k) shifts f(x) rights k units 
k f(x) vertical stretch or shrink
f(kx) horizontal stretch or shrink
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