find the domain and range of f(x) =x/x^2 -3x +2
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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.
(
−
∞
,
∞
)
(-∞,∞)
{
x
|
x
∈
R
}
{x|x∈ℝ}
Locate the vertex of the parabola.
(
3
,
2
)
(3,2)
The range of a parabola that opens up starts at its vertex
(
3
,
2
)
(3,2) and extends to infinity.
[
2
,
∞
)
[2,∞)
{
y
|
y
≥
2
}
{y|y≥2}
Determine the domain and range.
Domain:
(
−
∞
,
∞
)
,
{
x
|
x
∈
R
}
(-∞,∞),{x|x∈ℝ} for any integer
n
n
Range:
[
2
,
∞
)
,
{
y
|
y
≥
2
}
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