Algebra 3 Quiz
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POLYNOMIAL & RATIONAL FUNCTIONS
Question 1
of 20
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Let
g
(
x
)
=
−
x
(
x
−
4
)
3
(
x
+
1
)
4
g(x)=-x(x-4)^3(x+1)^4
g
(
x
)
=
−
x
(
x
−
4
)
3
(
x
+
1
)
4
. Which statement correctly describes the graph?
A
The graph rises to the left, falls to the right, crosses at
x
=
−
1
x=-1
x
=
−
1
and
x
=
0
x=0
x
=
0
, touches at
x
=
4
x=4
x
=
4
, and is positive on
(
−
∞
,
0
)
∪
(
4
,
∞
)
(-\infty,0)\cup(4,\infty)
(
−
∞
,
0
)
∪
(
4
,
∞
)
.
B
The graph falls to the left and right, crosses at
x
=
−
1
x=-1
x
=
−
1
, touches at
x
=
0
x=0
x
=
0
and
x
=
4
x=4
x
=
4
, and is negative on
(
0
,
4
)
(0,4)
(
0
,
4
)
.
C
The graph falls to the left and right, touches at
x
=
−
1
x=-1
x
=
−
1
, crosses at
x
=
0
x=0
x
=
0
and
x
=
4
x=4
x
=
4
, and is positive on
(
0
,
4
)
(0,4)
(
0
,
4
)
.
D
The graph falls to the left and right, touches at
x
=
−
1
x=-1
x
=
−
1
and
x
=
4
x=4
x
=
4
, crosses at
x
=
0
x=0
x
=
0
, and is negative on
(
0
,
4
)
(0,4)
(
0
,
4
)
.
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