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HPC Unit 7 Polynomial & Rational Functions Review

HPC Unit 7 Polynomial & Rational Functions Review

Assessment

Flashcard

Mathematics

11th Grade

Practice Problem

Hard

CCSS
HSF-IF.C.7C, HSA-REI.B.4B, HSN.CN.C.9

Standards-aligned

Created by

Wayground Content

FREE Resource

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15 questions

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1.

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 determines the end behavior of the polynomial function.

2.

FLASHCARD QUESTION

Front

What does a root with a multiplicity of 2 indicate about its graph?

Back

A root with a multiplicity of 2 indicates that the graph touches the x-axis at that root but does not cross it, creating a 'bounce' effect.

3.

FLASHCARD QUESTION

Front

What is the end behavior of a polynomial function as x approaches -∞ if the leading coefficient is negative and the degree is even?

Back

The end behavior will be f(x) → ∞ as x → -∞.

4.

FLASHCARD QUESTION

Front

How do you find the vertex of a quadratic function in standard form?

Back

The vertex of a quadratic function f(x) = ax^2 + bx + c can be found using the formula: Vertex = (-b/(2a), f(-b/(2a))).

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

What is the significance of the degree of a polynomial?

Back

The degree of a polynomial indicates the highest power of the variable and determines the number of roots and the end behavior of the polynomial function.

7.

FLASHCARD QUESTION

Front

How do you determine the end behavior of a polynomial function?

Back

The end behavior is determined by the leading coefficient and the degree of the polynomial. If the degree is even, both ends will go in the same direction; if odd, they will go in opposite directions.

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