
Understanding Differentiation and Graphing

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

Emma Peterson
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary goal of using differentiation and concavity in graphing a function?
To find the exact values of the function
To determine the general shape of the function
To calculate the area under the curve
To solve the function's equation
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are critical points in the context of differentiation?
Points where the function has a maximum value
Points where the derivative is zero or undefined
Points where the function is undefined
Points where the function changes direction
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you determine if a critical point is a maximum, minimum, or inflection point?
By checking the first derivative
By evaluating the second derivative
By graphing the function
By calculating the third derivative
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does a positive second derivative indicate about the concavity of a function?
The function is concave downwards
The function is linear
The function has a maximum point
The function is concave upwards
Tags
CCSS.HSF.IF.A.2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is an inflection point?
A point where the function reaches its maximum value
A point where the function reaches its minimum value
A point where the concavity of the function changes
A point where the function is undefined
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can you confirm an inflection point using the second derivative?
By calculating the third derivative
By ensuring the second derivative changes sign
By checking if the second derivative is zero
By finding the first derivative
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of the point where x = 1 in the function?
It is an inflection point
It is a maximum point
It is undefined
It is a minimum point
Tags
CCSS.8.EE.B.5
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