Algebra 2 Quiz
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ANALYZE FUNCTIONS
Question 1
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Factor and sketch
g
(
x
)
=
x
3
−
4
x
2
−
x
+
4
g(x)=x^3-4x^2-x+4
g
(
x
)
=
x
3
−
4
x
2
−
x
+
4
showing all real zeros and the end behavior.
A
g
(
x
)
=
(
x
−
1
)
(
x
−
4
)
(
x
+
1
)
g(x)=(x-1)(x-4)(x+1)
g
(
x
)
=
(
x
−
1
)
(
x
−
4
)
(
x
+
1
)
. Zeros:
x
=
1
,
4
,
−
1
x=1,4,-1
x
=
1
,
4
,
−
1
. End behavior: left down, right up.
B
g
(
x
)
=
(
x
+
1
)
(
x
−
4
)
(
x
−
1
)
g(x)=(x+1)(x-4)(x-1)
g
(
x
)
=
(
x
+
1
)
(
x
−
4
)
(
x
−
1
)
. Zeros:
x
=
−
1
,
1
,
4
x=-1,1,4
x
=
−
1
,
1
,
4
. End behavior: left up, right down.
C
g
(
x
)
=
(
x
−
1
)
2
(
x
−
4
)
g(x)=(x-1)^2(x-4)
g
(
x
)
=
(
x
−
1
)
2
(
x
−
4
)
. Zeros:
x
=
1
x=1
x
=
1
(touch),
x
=
4
x=4
x
=
4
(cross). End behavior: left down, right up.
D
g
(
x
)
=
(
x
+
1
)
(
x
2
−
4
)
g(x)=(x+1)(x^2-4)
g
(
x
)
=
(
x
+
1
)
(
x
2
−
4
)
. Zeros:
x
=
−
1
,
−
2
,
2
x=-1,-2,2
x
=
−
1
,
−
2
,
2
. End behavior: left down, right up.
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