
Graph Behavior and Concavity Concepts
Interactive Video
•
Mathematics
•
11th - 12th Grade
•
Practice Problem
•
Hard
Sophia Harris
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary method to identify inflection points in a function?
Using the second derivative
Finding the x-intercepts
Using the first derivative
Calculating the y-intercepts
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When examining the behavior of a function as x approaches infinity, what is a key logical step?
Finding the y-intercept
Deducing from given conditions
Using the first derivative
Ignoring the second derivative
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is necessary to confirm a change in concavity in a graph?
A common middle point
A vertical asymptote
A horizontal line
A change in slope
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does a minimum point on a graph indicate about concavity?
Concave down
Horizontal asymptote
No concavity
Concave up
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it important to identify stationary points on a graph?
They are the y-intercepts
They are the x-intercepts
They show where the graph changes direction
They indicate where the graph is undefined
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of a double root at a point on a graph?
It is a point of discontinuity
It shows a point of inflection
It represents a stationary point
It indicates a vertical asymptote
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to the graph as x approaches negative infinity?
It approaches a horizontal asymptote
It races off steeply
It becomes undefined
It flattens out
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