What are the two main constraints needed for the Extreme Value Theorem to apply?
Does the EVT apply

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Mathematics
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11th Grade - University
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Hard
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5 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Continuity and an open interval
Boundedness and a closed interval
Differentiability and an open interval
Continuity and a closed interval
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it important for a function to be continuous when applying the EBT?
To ensure the function is periodic
To guarantee the function is bounded
To ensure the function is differentiable
To avoid undefined values within the interval
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a necessary condition for the EBT to determine the existence of extrema?
The function must be periodic
The function must have a horizontal tangent
The function must be defined on an open interval
The function must be defined on a closed interval
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Where can the maximum and minimum values occur according to the EBT?
Only where the derivative is zero
Only at the endpoints of the interval
At the endpoints or within the interval
Only at points of discontinuity
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the EBT not specify about the extrema of a function?
Whether they exist
Their exact location
Their continuity
Their value
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