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

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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