EXAMPLE 2 The graphs of y = f(x) and y = g(x) are shown below. DO NOT attempt to fir f(x) of g(x). Let R(x) = L) g(x) y = f(z) y = g(z)

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Chapter2: Second-order Linear Odes
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EXAMPLE 2 The graphs of y = f(x) and y = g(x) are shown below. DO NOT attempt to find an equation for either
f(x) of g(x). Let R(x) = [
g(x)
y = {(x)
11
y = g(x)
a) Solve R(x) = o
b) Where is R(x) undefined?
c) Find an equation for the vertical asymptote(s) of R(x).
d) Determine whether the horizontal asymptote of y = R(x) is above or below thex -axis.
e) Solve R(x) > 0.
f) Where is R(x) negative?
Transcribed Image Text:EXAMPLE 2 The graphs of y = f(x) and y = g(x) are shown below. DO NOT attempt to find an equation for either f(x) of g(x). Let R(x) = [ g(x) y = {(x) 11 y = g(x) a) Solve R(x) = o b) Where is R(x) undefined? c) Find an equation for the vertical asymptote(s) of R(x). d) Determine whether the horizontal asymptote of y = R(x) is above or below thex -axis. e) Solve R(x) > 0. f) Where is R(x) negative?
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