Define Extrema and Boundness of Functions

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Mathematics
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11th Grade - University
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Hard
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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main difference between absolute and relative extrema?
Relative extrema are the highest and lowest points on the entire graph, while absolute extrema are within a specific interval.
Absolute extrema occur only in polynomial functions, while relative extrema occur in all types of functions.
Absolute extrema are the highest and lowest points on the entire graph, while relative extrema are within a specific interval.
Relative extrema are always higher than absolute extrema.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Where does the absolute maximum point occur on a graph?
At the lowest point the graph reaches.
At the highest point the graph reaches.
At the midpoint of the graph.
At the point where the graph changes direction.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can you identify a relative maximum on a graph?
By finding the point that is the highest on the entire graph.
By finding the point that is higher than its immediate neighbors within a specific interval.
By finding the point that is the lowest on the entire graph.
By finding the point that is lower than its immediate neighbors within a specific interval.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does it mean for a graph to be bounded above?
The graph has no maximum or minimum points.
The graph does not go above a certain value.
The graph does not go below a certain value.
The graph is symmetrical around the x-axis.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is an example of a bounded graph?
A graph that oscillates indefinitely.
A graph with no horizontal asymptotes.
A quadratic function with a maximum point.
A line that extends infinitely in both directions.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a characteristic of an unbounded graph?
It is always symmetrical.
It has a horizontal asymptote.
It continues indefinitely in at least one direction.
It has a maximum and minimum point.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can you determine if a function is bounded below?
If it is a linear function.
If it does not go below a certain value.
If it has a maximum point.
If it has a horizontal asymptote.
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