Relative Minimums and Maximums of a Polynomial

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•
Mathematics
•
9th - 11th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What are relative minimums and maximums?
Back
Relative minimums and maximums are points on a graph where the function value is lower (minimum) or higher (maximum) than the values of the function at nearby points.
2.
FLASHCARD QUESTION
Front
Where do you find relative minimums and maximums?
Back
Turning points of the function.
3.
FLASHCARD QUESTION
Front
What is a turning point?
Back
A turning point is a point on the graph of a function where the function changes from increasing to decreasing or from decreasing to increasing.
4.
FLASHCARD QUESTION
Front
How can you determine the relative maximum of a polynomial function?
Back
By finding the turning points and evaluating the function at those points.
5.
FLASHCARD QUESTION
Front
What is the significance of the first derivative in finding extrema?
Back
The first derivative indicates the slope of the function; where it equals zero, the function may have a relative maximum or minimum.
6.
FLASHCARD QUESTION
Front
What does it mean if the second derivative is positive at a turning point?
Back
It indicates that the turning point is a relative minimum.
7.
FLASHCARD QUESTION
Front
What does it mean if the second derivative is negative at a turning point?
Back
It indicates that the turning point is a relative maximum.
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