What is a critical point in the context of increasing and decreasing functions?

Determining Function Intervals: Increasing and Decreasing Behavior

Interactive Video
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Mathematics
•
8th - 12th Grade
•
Hard

Jackson Turner
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Where the derivative is zero or does not exist
Where the function is undefined
Where the function has a maximum value
Where the function has a minimum value
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you determine if a function is increasing in a given interval?
By checking if the derivative is positive
By checking if the function is positive
By checking if the derivative is negative
By checking if the function is negative
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding the intervals where a function is increasing or decreasing?
Finding the minimum value
Finding the second derivative
Finding the critical points
Finding the maximum value
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the interval from negative infinity to negative 2, what is the sign of the derivative for the function discussed?
Undefined
Zero
Negative
Positive
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does a positive derivative indicate about the function in that interval?
The function is decreasing
The function is undefined
The function is constant
The function is increasing
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When using the graph of the derivative, what does it mean if the derivative is above the x-axis?
The original function is decreasing
The original function is increasing
The original function is constant
The original function is undefined
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the justification statement for a function increasing on an interval?
Because the derivative is positive
Because the derivative is negative
Because the function is negative
Because the function is positive
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