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
Read more
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
Create a free account and access millions of resources
Similar Resources on Quizizz
9 questions
Critical Points and Inflection Analysis

Interactive video
•
9th - 10th Grade
11 questions
Analyzing Function Behavior and Derivatives

Interactive video
•
9th - 10th Grade
11 questions
Critical Points and Extrema Concepts

Interactive video
•
9th - 10th Grade
11 questions
Understanding Derivatives and Stationary Points

Interactive video
•
9th - 10th Grade
11 questions
Analyzing Function Behavior and Values

Interactive video
•
9th - 10th Grade
11 questions
Understanding Derivatives and Concavity

Interactive video
•
9th - 10th Grade
9 questions
Analyzing Function Behavior and Derivatives

Interactive video
•
9th - 10th Grade
11 questions
Understanding Absolute and Local Extrema

Interactive video
•
9th - 10th Grade
Popular Resources on Quizizz
15 questions
Multiplication Facts

Quiz
•
4th Grade
20 questions
Math Review - Grade 6

Quiz
•
6th Grade
20 questions
math review

Quiz
•
4th Grade
5 questions
capitalization in sentences

Quiz
•
5th - 8th Grade
10 questions
Juneteenth History and Significance

Interactive video
•
5th - 8th Grade
15 questions
Adding and Subtracting Fractions

Quiz
•
5th Grade
10 questions
R2H Day One Internship Expectation Review Guidelines

Quiz
•
Professional Development
12 questions
Dividing Fractions

Quiz
•
6th Grade