Graph Behavior and Derivatives
Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
Emma Peterson
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does a negative first derivative indicate about the graph's behavior?
The graph is stationary.
The graph is decreasing.
The graph is increasing.
The graph is concave up.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When the second derivative is positive, what can be said about the graph's concavity?
The graph is stationary.
The graph is linear.
The graph is concave up.
The graph is concave down.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does a positive second derivative imply about the graph's curvature?
The graph is concave up.
The graph is concave down.
The graph is linear.
The graph is stationary.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does it mean when a graph is increasing with no concavity?
The graph is a straight line.
The graph has a point of inflection.
The graph is concave down.
The graph is decreasing.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is a point of inflection characterized in terms of derivatives?
First derivative is positive, second derivative is zero.
First derivative is zero, second derivative is zero.
First derivative is negative, second derivative is zero.
First derivative is zero, second derivative is positive.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is true for a graph with a negative first derivative and zero second derivative?
The graph is increasing and concave up.
The graph is stationary and concave down.
The graph is increasing and concave down.
The graph is decreasing and linear.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does a stationary point with concave down indicate?
A local minimum.
A straight line.
A local maximum.
A point of inflection.
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