
Understanding Critical Numbers and Relative Extrema

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned

Lucas Foster
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the domain of the quadratic function f(x) = -3x^2 + 4x - 2?
All real numbers
x > 0
x is an integer
x < 0
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find the critical number of a function?
By setting the function equal to zero
By setting the first derivative equal to zero or undefined
By finding the maximum value of the function
By setting the second derivative equal to zero
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the critical number of the function f(x) = -3x^2 + 4x - 2?
x = -1
x = 2/3
x = 0
x = 1
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does a positive first derivative indicate about a function on an interval?
The function has a maximum
The function is increasing
The function is decreasing
The function is constant
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the behavior of the function on the interval where the first derivative is negative?
The function has a minimum
The function is constant
The function is decreasing
The function is increasing
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
At what x-value does the function f(x) = -3x^2 + 4x - 2 have a relative maximum?
x = -1
x = 1
x = 0
x = 2/3
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the y-coordinate of the relative maximum point of the function?
-2/3
2/3
0
1
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