

Extreme Values and Critical Points Quiz
Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Hard
Jennifer Brown
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding critical points of a function?
Set the second derivative to zero
Find the function's maximum value
Set the first derivative to zero
Determine the function's domain
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If a function's derivative is always greater than zero, what can be said about the function?
The function has a local minimum
The function is always increasing
The function has a local maximum
The function is always decreasing
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a critical point where the derivative is undefined?
A point where the derivative does not exist
A point where the function has a local minimum
A point where the function has a local maximum
A point where the function is not continuous
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you determine if a critical point is a maximum or minimum?
By evaluating the function at nearby points
By finding the function's domain
By checking the second derivative
By setting the function equal to zero
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What must be checked first when analyzing a piecewise function?
The function's domain
The function's maximum value
The function's continuity
The function's derivative
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a breaking point in a piecewise function?
A point where the function is not defined
A point where the function has a local maximum
A point where the function is continuous
A point where the derivative is undefined
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the domain restriction for a function involving a square root?
The expression under the square root must be positive
The expression under the square root can be any real number
The expression under the square root must be negative
The expression under the square root must be zero
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