f(x) 1. Answer the questions about the rational function described by the following statements. a<0 and 0< b

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
f(x)
1. Answer the questions about the rational function
described by the following statements.
a<0 and 0< b<c
I.
f(x)
I.
is discontinuous at
X=a x=b
and
X=C
f(x)
is an end behavior model for
y=x
II.
x→a*,f(x)→∞
x→a,f(x)→-*
IV.
as
and as
x→b",f(x)→-∞
x→b°,f(x)→∞
V.
as
and as
x→c*,f(x)→3
x→c`,f(x)→3
VI.
as
and as
A. List all vertical asymptote(s).
B. List the x value of the hole(s).
f(c)=
С.
Be as specific as possible.
f(x) ,
D. What is the smallest possible degree of the denominator of
f (x) ,
E. What is the degree of the numerator of
?
Sketch a graph of T(x)
Label the x-intercept "d."
F.
G. Write an equation of *)
using the conditions I – VI above.
Transcribed Image Text:f(x) 1. Answer the questions about the rational function described by the following statements. a<0 and 0< b<c I. f(x) I. is discontinuous at X=a x=b and X=C f(x) is an end behavior model for y=x II. x→a*,f(x)→∞ x→a,f(x)→-* IV. as and as x→b",f(x)→-∞ x→b°,f(x)→∞ V. as and as x→c*,f(x)→3 x→c`,f(x)→3 VI. as and as A. List all vertical asymptote(s). B. List the x value of the hole(s). f(c)= С. Be as specific as possible. f(x) , D. What is the smallest possible degree of the denominator of f (x) , E. What is the degree of the numerator of ? Sketch a graph of T(x) Label the x-intercept "d." F. G. Write an equation of *) using the conditions I – VI above.
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