
APPC Review A for 1.1-1.6
Flashcard
•
Mathematics
•
11th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What does it mean for a function's rate of change to be positive and decreasing?
Back
It means that the function is increasing, but the rate at which it increases is slowing down.
2.
FLASHCARD QUESTION
Front
Define 'decreasing' in the context of a function.
Back
A function is decreasing on an interval if, as x increases, the function's value decreases.
3.
FLASHCARD QUESTION
Front
What does 'concave up' mean for a function's graph?
Back
A graph is concave up if it opens upwards, indicating that the slope of the tangent line is increasing.
4.
FLASHCARD QUESTION
Front
What does 'concave down' mean for a function's graph?
Back
A graph is concave down if it opens downwards, indicating that the slope of the tangent line is decreasing.
5.
FLASHCARD QUESTION
Front
How can you determine if a function is decreasing on an interval?
Back
By analyzing the first derivative of the function; if the derivative is negative over that interval, the function is decreasing.
6.
FLASHCARD QUESTION
Front
What is the significance of the second derivative in determining concavity?
Back
The second derivative indicates concavity; if it is positive, the function is concave up, and if negative, concave down.
7.
FLASHCARD QUESTION
Front
What does it mean for a function to be decreasing at a decreasing rate?
Back
It means that while the function is still decreasing, the amount by which it decreases is getting smaller.
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