Polynomial Graphs

Flashcard
•
Mathematics
•
11th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a polynomial function?
Back
A polynomial function is a mathematical expression involving a sum of powers in one or more variables multiplied by coefficients. The general form is f(x) = a_n*x^n + a_(n-1)*x^(n-1) + ... + a_1*x + a_0, where a_n ≠ 0.
2.
FLASHCARD QUESTION
Front
What does the degree of a polynomial indicate?
Back
The degree of a polynomial indicates the highest power of the variable in the polynomial. It determines the polynomial's end behavior and the maximum number of turns in its graph.
3.
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 a polynomial. It influences the direction of the graph as x approaches positive or negative infinity.
4.
FLASHCARD QUESTION
Front
How do you determine the end behavior of a polynomial function?
Back
The end behavior of a polynomial function can be determined by the degree and the leading coefficient. If the degree is even and the leading coefficient is positive, both ends of the graph rise. If the degree is even and the leading coefficient is negative, both ends fall.
5.
FLASHCARD QUESTION
Front
What is a zero of a polynomial function?
Back
A zero of a polynomial function is a value of x for which the polynomial evaluates to zero. It represents the x-intercepts of the graph.
Tags
CCSS.HSF-IF.C.7C
6.
FLASHCARD QUESTION
Front
What is multiplicity in relation to polynomial zeros?
Back
Multiplicity refers to the number of times a particular zero is repeated in a polynomial. A zero with an even multiplicity will touch the x-axis, while a zero with an odd multiplicity will cross the x-axis.
Tags
CCSS.HSF-IF.C.7C
7.
FLASHCARD QUESTION
Front
How can you find the maximum number of turns in the graph of a polynomial?
Back
The maximum number of turns in the graph of a polynomial is given by the degree of the polynomial minus one.
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