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Problem
## Explorations 65. Graph each function and analyze it for domain, range, increasing or decreasing behavior, boundedness, extrema, asymptotes, and end behavior. (a)
f
(
x
)
=
x
⋅
e
x
f(x)=x \cdot e^{x}
f
(
x
)
=
x
⋅
e
x
(b)
g
(
x
)
=
e
−
x
x
g(x)=\frac{e^{-x}}{x}
g
(
x
)
=
x
e
−
x
(a)
f
(
x
)
=
x
⋅
e
x
f(x)=x \cdot e^{x}
f
(
x
)
=
x
⋅
e
x
(b)
g
(
x
)
=
e
−
x
x
g(x)=\frac{e^{-x}}{x}
g
(
x
)
=
x
e
−
x
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