What is the first step in finding the absolute maximum and minimum values of a function on a closed interval?

Finding Absolute Extrema of Functions

Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Hard

Thomas White
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Evaluate the function at random points.
Find the critical points by taking the derivative.
Use a graphing calculator to find the values.
Guess the maximum and minimum values.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you determine the critical points of a function?
By setting the function equal to zero.
By finding where the derivative is zero or undefined.
By evaluating the function at the endpoints.
By graphing the function.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What should you do after finding the critical points of a function?
Ignore them and focus on the endpoints.
Evaluate the function at these points and the endpoints.
Only evaluate the function at the endpoints.
Use a calculator to find the maximum and minimum.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the first example, what is the absolute maximum value of the function on the interval?
16
-27/16
32
0
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the absolute minimum value of the function in the first example?
16
-27/16
32
0
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of evaluating the function at critical points and endpoints?
To find the average value of the function.
To determine the absolute maximum and minimum values.
To check if the function is continuous.
To find the derivative of the function.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the second example, what are the critical points of the function?
x = 2 and x = -2
x = 1 and x = -1
x = 0 and x = 2
x = 3 and x = -3
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