Determine the extrema of a function on a closed interval

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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
What is the first step in finding critical numbers of a function?
Set the derivative equal to zero
Set the function equal to zero
Evaluate the function at endpoints
Find the second derivative
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Where do extrema of a function occur?
Anywhere on the interval
At the endpoints and critical numbers
Only at the endpoints
Only at the critical numbers
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of evaluating a function at its critical numbers and endpoints?
To calculate the derivative
To identify the extrema
To determine the slope
To find the average value
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the given example, what is the absolute minimum value of the function?
9
3
0
-3
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can absolute extrema be expressed in terms of coordinate points?
As a range of values
As a derivative
As a single number
As pairs of x and y values
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