1. Determine the following information regarding each function step by step and then sketch its graph of 8(x+12) X-4 f(x) f (x) f "(x ) Domain x and y intercepts Vertical Intervals of concavity Coordinates of any points of inflection Intervals of increase and decrease Coordinates of any local/absolute maximum and minimum points asymptote(s) and behaviour of f(x) at vertical asymptote(s) (one-sided limits) Horizontal/Oblique asymptote and end behaviour of f(x) (limits to infinity)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1. Determine the following information regarding each function step by step and then sketch
its graph of
f(x)=
X-4
f'(x)=*-12)
-4
f"(x)=&+12)
X-4
f(x )
f (x )
f"(x )
Domain
x and y intercepts
Vertical
Intervals of increase
and decrease
Coordinates of any
Intervals of concavity
Coordinates of any
points of inflection
asymptote(s) and
behaviour of f(x) at
vertical asymptote(s)
(one-sided limits)
Horizontal/Oblique
asymptote and end
behaviour of f(x)
(limits to infinity)
local/absolute
maximum and
minimum points
Transcribed Image Text:1. Determine the following information regarding each function step by step and then sketch its graph of f(x)= X-4 f'(x)=*-12) -4 f"(x)=&+12) X-4 f(x ) f (x ) f"(x ) Domain x and y intercepts Vertical Intervals of increase and decrease Coordinates of any Intervals of concavity Coordinates of any points of inflection asymptote(s) and behaviour of f(x) at vertical asymptote(s) (one-sided limits) Horizontal/Oblique asymptote and end behaviour of f(x) (limits to infinity) local/absolute maximum and minimum points
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