

Understanding Absolute Extrema
Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Emma Peterson
FREE Resource
Standards-aligned
Read more
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What ensures the existence of absolute extrema for a continuous function over a closed interval?
The function is differentiable.
The function is continuous.
The function is decreasing.
The function is increasing.
Tags
CCSS.HSF-IF.C.8B
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of the term 24x^2 in the function?
24x
48x
12x
36x
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What type of function is the derivative in this problem?
Linear
Exponential
Quadratic
Cubic
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the critical numbers found by solving the derivative equation?
x = -1 and x = 9
x = 0 and x = 1
x = -9 and x = 1
x = -9 and x = 2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which critical number is within the given interval?
x = 2
x = 1
x = 0
x = -9
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
At which x-value does the function have its absolute minimum?
x = 2
x = 1
x = 0
x = -9
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the absolute maximum value of the function?
54
7
975
-25
Tags
CCSS.HSF.IF.A.2
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