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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
}
Answer:
9,4,-1,-6
Step-by-step explanation:
You just need to plug in the x values into the equation and solve.
Answer:
1920 cubic inches
Step-by-step explanation:
Volume = Base Area × Height
= 240 × 8
= <u>1</u><u>9</u><u>2</u><u>0</u><u> </u><u>c</u><u>u</u><u>b</u><u>i</u><u>c</u><u> </u><u>i</u><u>n</u><u>c</u><u>h</u><u>e</u><u>s</u>
The equation of the circle is written as: (x - h)² + (y - k)² = r²
(h,k) are the points of the center of the circle.
r is the radius.
In case of the given equation the center is (-3,-5)
Hope this helps :)