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Precalculus Examples
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Precalculus
Find the Range y=cos(x)
y
=
cos
(
x
)
y
=
cos
(
x
)
Step 1
The
range
is the
set
of all valid
y
y
values. Use the
graph
to find the
range
.
Interval
Notation:
[
-
1
,
1
]
[
−
1
,
1
]
Set
-Builder Notation:
{
y
|
-
1
≤
y
≤
1
}
{
y
|
−
1
≤
y
≤
1
}
Step 2
[
x
2
1
2
√
π
∫
x
d
x
]
⎡
⎢
⎣
x
2
1
2
√
π
∫
x
d
x
⎤
⎥
⎦
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