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Mathematics
Mathematics
Problem
Consider the cubic polynomial
g
(
x
)
=
−
3
(
x
+
1
)
3
+
4
g(x)=-3(x+1)^{3}+4
g
(
x
)
=
−
3
(
x
+
1
)
3
+
4
. a. (i) Find the
y
y
y
-intercept of the graph of
y
=
g
(
x
)
y=g(x)
y
=
g
(
x
)
. b. (ii) State the domain of
g
g
g
. c. (iii) Determine the range of
g
g
g
, giving a clear reason for your answer.
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