Find the range of the function f(x) = x2 + 6x - 7
when
(a) x €[-8,0]
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Answer:
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
}
Locate the vertex of the parabola.
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(
3
,
−
2
)
The range of a parabola that opens up starts at its vertex
(
3
,
−
2
)
and extends to infinity.
Interval Notation:
[
−
2
,
∞
)
Set-Builder Notation:
{
y
|
y
≥
−
2
}
Determine the domain and range.
Domain:
(
−
∞
,
∞
)
,
{
x
|
x
∈
R
}
Range:
[
−
2
,
∞
)
,
{
y
|
y
≥
−
2
}
Step-by-step explanation:
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