Polynomial Graphs

Flashcard
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Mathematics
•
9th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the end behavior of a polynomial function?
Back
The end behavior of a polynomial function describes how the function behaves as x approaches positive or negative infinity. It is determined by the leading term of the polynomial.
2.
FLASHCARD QUESTION
Front
What does it mean if a zero of a polynomial function has multiplicity 2?
Back
It means that the graph will 'bounce' off the x-axis at that zero.
3.
FLASHCARD QUESTION
Front
What is the factored form of a polynomial function?
Back
The factored form expresses the polynomial as a product of its linear factors, showing its zeros and their multiplicities.
Tags
CCSS.HSA.APR.B.2
4.
FLASHCARD QUESTION
Front
How do you find the minimum value of a polynomial graph?
Back
The minimum value can be found by identifying the lowest point on the graph, which corresponds to the vertex of the parabola in quadratic functions.
Tags
CCSS.HSF-IF.C.7A
5.
FLASHCARD QUESTION
Front
What are the zeros of the polynomial function f(x) = (x+2)(x-3)²(x-4)?
Back
The zeros are -2, 3 (with multiplicity 2), and 4.
Tags
CCSS.HSF-IF.C.7C
6.
FLASHCARD QUESTION
Front
What is the significance of the leading coefficient in a polynomial function?
Back
The leading coefficient determines the direction of the graph's end behavior: if positive, the graph rises to the right; if negative, it falls to the right.
7.
FLASHCARD QUESTION
Front
What does it mean for a polynomial to have an odd degree?
Back
A polynomial with an odd degree will have opposite end behaviors; as x approaches positive infinity, f(x) approaches positive infinity, and as x approaches negative infinity, f(x) approaches negative infinity.
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