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Calculus Examples
Popular Problems Calculus Find the Domain and Range f(x)=5x-3
f
(
x
)
=
5
x
−
3
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:
(
−
∞
,
∞
)
Set-Builder Notation:
{
y
|
y
∈
R
}
Determine the domain and range.
Domain:
(
−
∞
,
∞
)
,
{
x
|
x
∈
R
}
Range:
(
−
∞
,
∞
)
,
{
y
|
y
∈
R
}
I didn't get all the part with the tiles, but here's the general answer:
given a polynomial
we have that 
is a factor of 
if and only if k is a root of , i.e. if
So, given the polynomial
We can check if 
is a factor by evaluating 
:
So, is not a factor.
Similarly, we can evaluate 
to check if 
are factors:
So, only 
is a factor of 
12/8=
6/4=
3/2
Your answer in simplest form would be 3/2
The answer is 322 m/s. hope this helps :)
1 mi/ 5s x 1609 m/ 1 mi =322 m/s
40 ways. 6!/3!(6-3)! =120. We are only trying to find 3 ways. 120 is the total, 120/30 =40. So 40 is the answer.
