find the domain of
f(x) = 2 {x}^{2} - 5x + 7 \div (x - 1)(x - 2)(x - 3)
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Precalculus Examples
Popular Problems Precalculus Find the Domain and Range 2x^2+5x-7
2
x
2
+
5
x
−
7
Write the polynomial as an equation.
y
=
2
x
2
+
5
x
−
7
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 range is the set of all valid
y
values. Use the graph to find the range.
Interval Notation:
[
−
81
8
,
∞
)
Set-Builder Notation:
{
y
∣
∣
∣
y
≥
−
81
8
}
Determine the domain and range.
Domain:
(
−
∞
,
∞
)
,
{
x
|
x
∈
R
}
Range:
[
−
81
8
,
∞
)
,
{
y
∣
∣
∣
y
≥
−
81
8
}
image of graph
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