Consider the function f whose domain is included in [3,24] for which we have the sketch of y = f(x) on the accompanying diagram. The dashed line of equation x=3 represents a vertical asymptote for the graph. A) What is the domain off? Use unions in the notation of your answer, such as: [29,30) U{34} U... B) What is the range of f? C) What are the following limits? In case a limit does not exist, say why. i) lim f(x) x-14 ii) iii) lim y(x) x-12 lim f(x) x-20 iv) lim y(x) x-16 lim y(x) x-6* v) vi) lim f(x) x-14 vii) lim y(x) viii) lim f(x) x-24 ix) lim f(x) X) lim f (x) x-9 -10 24

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Chapter2: Second-order Linear Odes
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Can you answer question C iv all the way to x
Question 1.11)
Consider the function f whose domain is included in [3,24] for which we have the sketch of y=f(x) on
the accompanying diagram. The dashed line of equation x=3 represents a vertical asymptote for the
graph.
A) What is the domain off?
Use unions in the notation of your answer, such as: [29,30) U{34} U...
B) What is the range of f?
C) What are the following limits?
In case a limit does not exist, say why.
i)
ii)
iii) lim y(x)
x-12
lim f(x)
x-14
lim f(x)
x-20
iv) lim y(x)
x-16
v) lim y(x)
X-6*
vi) lim f(x)
x-14
vii) lim y(x)
x-8
viii) lim f(x)
x-24
ix) lim f(x)
x-3
X)
lim f(x)
x-9
-10-
Transcribed Image Text:Question 1.11) Consider the function f whose domain is included in [3,24] for which we have the sketch of y=f(x) on the accompanying diagram. The dashed line of equation x=3 represents a vertical asymptote for the graph. A) What is the domain off? Use unions in the notation of your answer, such as: [29,30) U{34} U... B) What is the range of f? C) What are the following limits? In case a limit does not exist, say why. i) ii) iii) lim y(x) x-12 lim f(x) x-14 lim f(x) x-20 iv) lim y(x) x-16 v) lim y(x) X-6* vi) lim f(x) x-14 vii) lim y(x) x-8 viii) lim f(x) x-24 ix) lim f(x) x-3 X) lim f(x) x-9 -10-
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