Set the radicand in
√
x
−
5
x
-
5
greater than or equal to
0
0
to find where the expression is defined.
x
−
5
≥
0
x
-
5
≥
0
Add
5
5
to both sides of the inequality.
x
≥
5
x
≥
5
The domain is all values of
x
x
that make the expression defined.
Interval Notation:
[
5
,
∞
)
[
5
,
∞
)
Set-Builder Notation:
{
x
|
x
≥
5
}
{
x
|
x
≥
5
}
The range of an even indexed radical starts at its starting point
(
5
,
0
)
(
5
,
0
)
and extends to infinity.
Interval Notation:
[
0
,
∞
)
[
0
,
∞
)
Set-Builder Notation:
{
y
|
y
≥
0
}
{
y
|
y
≥
0
}
Determine the domain and range.
Answer:
Step-by-step explanation:
Given
Required
What value of c makes the mean = 10
Mean is calculated as
In this case;
Mean = 10 and n = 4;
So, we have:
Multiply both sides by 4
Solve for c
9514 1404 393
Answer:
A
Step-by-step explanation:
A vertical line intersects the graph in <em>more than one place</em>. As a consequence, we say the graph "fails the vertical line test." When the test fails, the graph is not a graph of a function.
