
Understanding Extrema in Calculus

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

Ethan Morris
Used 1+ times
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the absolute maximum of a function on a closed interval?
The lowest point on the graph within the interval
The highest point on the graph within the interval
A point where the graph changes direction
A point where the derivative is zero
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can you identify a local maximum using the first derivative test?
The first derivative changes from positive to negative
The first derivative is positive on both sides
The first derivative changes from negative to positive
The first derivative is negative on both sides
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a critical number in the context of finding extrema?
A point where the function is not continuous
A point where the first derivative is zero or undefined
A point where the second derivative is zero
A point where the function has a local maximum
Tags
CCSS.HSF-IF.C.7A
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
For a quadratic function, what does the leading term determine?
The function's domain
The direction the parabola opens
The function's intercepts
The function's symmetry
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the general shape of a cubic function?
A parabola
A straight line
A curve that always increases or decreases
A V-shape
Tags
CCSS.HSF-IF.C.7D
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find the critical numbers of a function with a fraction?
Find where the function is undefined
Set both the numerator and denominator equal to zero
Set the denominator equal to zero
Set the numerator equal to zero
Tags
CCSS.HSF-IF.C.7D
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of the vertex in an absolute value function?
It is always a local maximum
It is the point where the function is undefined
It is always a local minimum
It is the point where the function changes direction
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