Graph of a Function and Its Derivative

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Information Technology (IT), Architecture, Physics, Science
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4th 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 purpose of substituting an X value into the derivative function?
To find the Y-intercept of the original function
To determine the slope of the function at that point
To calculate the area under the curve
To identify the maximum value of the function
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does a positive Y value in the derivative function indicate about the original function?
The original function is increasing
The original function is decreasing
The original function is constant
The original function has a critical point
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a critical point in the context of derivative functions?
A point where the original function is undefined
A point where the original function has a maximum value
A point where the original function is constant
A point where the derivative is zero
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How does the original function behave at a critical point?
It changes direction
It continues to increase
It decreases at a faster rate
It remains constant
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the derivative function crossing the X-axis signify?
The original function is at a maximum
The original function is at a minimum
The original function is constant
The original function changes direction
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can you identify intervals of increase and decrease in the original function?
By calculating the second derivative
By analyzing the positive and negative Y values of the derivative
By looking at the X-intercepts of the original function
By finding the maximum and minimum values of the original function
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does it mean if the derivative function oscillates between positive and negative values?
The original function has no critical points
The original function is linear
The original function is constant
The original function oscillates between increasing and decreasing
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