Polynomial Characteristics Check
Flashcard
•
Mathematics
•
11th - 12th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the domain of a polynomial function?
Back
The domain of a polynomial function is always (-∞, +∞).
2.
FLASHCARD QUESTION
Front
What is a relative minimum in a polynomial function?
Back
A relative minimum is a point where the function value is lower than all nearby points. For example, (-2.55, -6.55) and (2.55, -6.55) are relative minima.
3.
FLASHCARD QUESTION
Front
What does it mean if a polynomial has an even degree and a positive leading coefficient?
Back
It means that the ends of the graph of the polynomial will rise on both sides, and it will have a U-shaped appearance.
4.
FLASHCARD QUESTION
Front
When is a polynomial function decreasing?
Back
A polynomial function is decreasing on the interval (-1.5, 1.5).
5.
FLASHCARD QUESTION
Front
When is a polynomial function increasing?
Back
A polynomial function is increasing on the intervals (-∞, -1.5) and (1.5, ∞).
6.
FLASHCARD QUESTION
Front
What is the leading coefficient of a polynomial?
Back
The leading coefficient is the coefficient of the term with the highest degree in the polynomial.
7.
FLASHCARD QUESTION
Front
How can you determine the end behavior of a polynomial function?
Back
The end behavior of a polynomial function can be determined by its degree and leading coefficient.
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