
Proving Inequalities and Function Behavior

Interactive Video
•
Mathematics
•
11th - 12th Grade
•
Hard

Jackson Turner
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What was the main limitation of relying solely on graphs according to the teacher?
Graphs are always inaccurate.
Graphs require exact accuracy for the argument to hold.
Graphs are too complex to draw.
Graphs do not provide enough marks.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What was the teacher's opinion on the students' initial approach?
It was completely incorrect.
It was a good start but needed more.
It was too complex.
It was the best approach.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the teacher say about the graph's role in the proof?
It is irrelevant.
It is useful but not sufficient alone.
It should be ignored.
It is the most important part.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why did the teacher find the students' gradient reasoning flawed?
It was too complex to understand.
It was based on incorrect calculations.
It could be used to argue the opposite conclusion.
It ignored the graph entirely.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a key strategy in proving inequalities, as introduced by the teacher?
Proving both sides are equal.
Proving the difference between them is positive.
Using complex algebraic manipulations.
Drawing accurate graphs.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in proving a function is always positive?
Calculating its maximum value.
Demonstrating it is increasing.
Proving it is always zero.
Showing it is decreasing.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What did the teacher suggest about the use of derivatives in the proof?
They should be avoided.
They help show a function is increasing.
They complicate the proof.
They are unnecessary.
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