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AP Calculus BC · Flashcards · Application
AP CALCULUS BC · FLASHCARDS
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QUESTION
What is the absolute maximum of
f
(
x
)
=
x
4
−
4
x
2
+
4
f(x) = x^4 - 4x^2 + 4
f
(
x
)
=
x
4
−
4
x
2
+
4
on
[
−
2
,
2
]
[-2, 2]
[
−
2
,
2
]
?
QUESTION
Evaluate
f
(
x
)
=
x
2
f(x) = x^2
f
(
x
)
=
x
2
at
x
=
−
1
,
0
,
1
x = -1, 0, 1
x
=
−
1
,
0
,
1
to find extrema.
QUESTION
Evaluate
f
(
x
)
=
−
x
3
+
3
x
2
f(x) = -x^3 + 3x^2
f
(
x
)
=
−
x
3
+
3
x
2
at endpoints
x
=
0
x = 0
x
=
0
and
x
=
2
x = 2
x
=
2
.
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ANSWER
f
(
0
)
=
0
f(0) = 0
f
(
0
)
=
0
,
f
(
2
)
=
0
f(2) = 0
f
(
2
)
=
0
. Shows function values at the boundary points of the interval.
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