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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
x
3
−
2
x
f(x)=x^{3}-2x
f
(
x
)
=
x
3
−
2
x
and let
h
(
x
)
=
−
f
(
x
)
h(x)=-f(x)
h
(
x
)
=
−
f
(
x
)
. a. (i) Find
f
(
1
)
f(1)
f
(
1
)
and
h
(
1
)
h(1)
h
(
1
)
. b. (ii) Find
f
(
−
2
)
f(-2)
f
(
−
2
)
and
h
(
−
2
)
h(-2)
h
(
−
2
)
. c. (iii) State the relationship between the
y
y
y
-coordinates of corresponding points on the graphs of
y
=
f
(
x
)
y=f(x)
y
=
f
(
x
)
and
y
=
h
(
x
)
y=h(x)
y
=
h
(
x
)
. Assume the same
x
x
x
-value in each case.
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