Interpreting/Sketching Key Features of Functions
Algebra · Flashcards · Application
ALGEBRA · FLASHCARDS
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QUESTION
For
f
(
x
)
=
x
3
f(x)=x^3
f
(
x
)
=
x
3
, what is the end behavior as
x
→
∞
x\to\infty
x
→
∞
and
x
→
−
∞
x\to-\infty
x
→
−
∞
?
QUESTION
For
f
(
x
)
=
(
x
−
1
)
(
x
−
5
)
f(x)=(x-1)(x-5)
f
(
x
)
=
(
x
−
1
)
(
x
−
5
)
, on which intervals is
f
(
x
)
f(x)
f
(
x
)
positive?
QUESTION
For
f
(
x
)
=
−
x
3
f(x)=-x^3
f
(
x
)
=
−
x
3
, what is the end behavior as
x
→
∞
x\to\infty
x
→
∞
and
x
→
−
∞
x\to-\infty
x
→
−
∞
?
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ANSWER
As
x
→
∞
x\to\infty
x
→
∞
,
f
(
x
)
→
−
∞
f(x)\to-\infty
f
(
x
)
→
−
∞
; as
x
→
−
∞
x\to-\infty
x
→
−
∞
,
f
(
x
)
→
∞
f(x)\to\infty
f
(
x
)
→
∞
. Odd-degree polynomial with negative leading coefficient.
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