
Understanding Relative Maximum and Minimum Values

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

Amelia Wright
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main focus of the video tutorial?
Identifying relative extrema in a function
Graphing linear functions
Understanding limits and continuity
Solving quadratic equations
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
At x = a, what type of point is identified?
Inflection point
Relative minimum
Absolute maximum
Relative maximum
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can you determine a relative maximum point?
By finding where the derivative is zero
By finding where f(x) is greater than or equal to f(a) in an open interval
By finding where f(x) is less than or equal to f(a) in an open interval
By finding the highest point on the graph
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is x = b considered a relative maximum?
Because it is a continuous point
Because f(x) is less than or equal to f(b) in an open interval around b
Because it is a point of inflection
Because it is the highest point on the graph
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What characteristic of x = c makes it a relative minimum?
It is the lowest point on the graph
It is a point of inflection
f(x) is greater than or equal to f(c) in an open interval around c
It is a continuous point
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of discontinuity at x = c?
It makes x = c a relative maximum
It has no effect on the type of point
It makes x = c an inflection point
It makes x = c a relative minimum
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a key feature of a relative minimum point?
It is a point of inflection
It is the highest point on the graph
f(x) is greater than or equal to f(c) in an open interval
f(x) is less than or equal to f(c) in an open interval
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