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Problem
Problem
Consider
f
(
x
)
=
x
3
+
1
f(x) = x^3 + 1
f
(
x
)
=
x
3
+
1
. a. Find in simplest form:
−
f
(
x
)
-f(x)
−
f
(
x
)
b. Find in simplest form:
f
(
−
x
)
f(-x)
f
(
−
x
)
c. Graph
y
=
f
(
x
)
y = f(x)
y
=
f
(
x
)
,
y
=
−
f
(
x
)
y = -f(x)
y
=
−
f
(
x
)
, and
y
=
f
(
−
x
)
y = f(-x)
y
=
f
(
−
x
)
on the same set of axes. d. What transformation moves
y
=
f
(
x
)
y = f(x)
y
=
f
(
x
)
to
y
=
−
f
(
x
)
y = -f(x)
y
=
−
f
(
x
)
? e. What transformation moves
y
=
f
(
x
)
y = f(x)
y
=
f
(
x
)
to
y
=
f
(
−
x
)
y = f(-x)
y
=
f
(
−
x
)
?
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