find domain and range of F(x)=|x|
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Algebra Examples
Popular Problems Algebra Find the Domain and Range f(x)=|x|
f
(
x
)
=
|
x
|
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
(
−
∞
,
∞
)
Set-Builder Notation:
{
x
|
x
∈
R
}
The absolute value expression has a V shape. The range of a positive absolute value expression starts at its vertex and extends to infinity.
Interval Notation:
[
0
,
∞
)
Set-Builder Notation:
{
y
|
y
≥
0
}
Determine the domain and range.
Domain:
(
−
∞
,
∞
)
,
{
x
|
x
∈
R
}
Range:
[
0
,
∞
)
,
{
y
|
y
≥
0
}
Step-by-step explanation:
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