Candidates Test
AP Calculus BC · Flashcards
AP CALCULUS BC · FLASHCARDS
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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
.
QUESTION
Which theorem supports the use of the Candidates Test?
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ANSWER
Extreme Value Theorem. Guarantees continuous functions have absolute extrema on closed intervals.
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