Linear and Quadratic Rates of Change
AP Precalculus · Flashcards · Application
AP PRECALCULUS · FLASHCARDS
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QUESTION
Find the average rate of change of
f
(
x
)
=
x
2
+
2
x
−
1
f(x) = x^2 + 2x - 1
f
(
x
)
=
x
2
+
2
x
−
1
over
[
2
,
4
]
[2, 4]
[
2
,
4
]
.
QUESTION
What is the instantaneous rate of change of
f
(
x
)
=
x
3
f(x) = x^3
f
(
x
)
=
x
3
at
x
=
1
x = 1
x
=
1
?
QUESTION
What is the instantaneous rate of change of
f
(
x
)
=
2
x
2
f(x) = 2x^2
f
(
x
)
=
2
x
2
at
x
=
−
1
x = -1
x
=
−
1
?
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ANSWER
-4. Find
f
′
(
x
)
=
4
x
f'(x) = 4x
f
′
(
x
)
=
4
x
, then evaluate at
x
=
−
1
x = -1
x
=
−
1
.
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