What is the end behavior of a second degree polynomial with a positive leading coefficient?

As x gets larger and larger in the positive direction, f(x) gets more positive. As x gets larger and larger in the negative direction, f(x) gets more positive.

As x gets larger and larger in the negative direction, f(x) gets more negative. As x gets larger and larger in the negative direction, f(x) gets more positive.

As x gets larger and larger in the positive direction, f(x) gets more negative. As x gets larger and larger in the negative direction, f(x) gets more positive.

As x gets larger and larger in the positive direction, f(x) gets more positive. As x gets larger and larger in the negative direction, f(x) gets more negative.

Which factor has a multiplicity of 2 of (x + 2)(x - 1)(x + 3)(x - 2) 2 ? What does this tell you about the graph?

(x - 2), and it will make a parabola shape at the x-intercept.

(x + 2), and it will go straight through the x-intercept

(x - 1), and it will make a parabola shape at the x-intercept.

(x +3), and it will go straight through the x-intercept.

What is the end behavior of a third degree polynomial with a positive leading coefficient?

As x gets larger and larger in the positive direction, f(x) gets more positive. As x gets larger and larger in the negative direction, f(x) gets more negative.

As x gets larger and larger in the positive direction, f(x) gets more positive. As x gets larger and larger in the negative direction, f(x) gets more positive.

As x gets larger and larger in the negative direction, f(x) gets more negative. As x gets larger and larger in the negative direction, f(x) gets more positive.

As x gets larger and larger in the positive direction, f(x) gets more negative. As x gets larger and larger in the negative direction, f(x) gets more positive.

What is the end behavior of a fourth degree polynomial with a negative leading coefficient?

As x gets larger and larger in the negative direction, f(x) gets more negative. As x gets larger and larger in the negative direction, f(x) gets more negative.

As x gets larger and larger in the positive direction, f(x) gets more positive. As x gets larger and larger in the negative direction, f(x) gets more positive.

As x gets larger and larger in the positive direction, f(x) gets more negative. As x gets larger and larger in the negative direction, f(x) gets more positive.

As x gets larger and larger in the positive direction, f(x) gets more positive. As x gets larger and larger in the negative direction, f(x) gets more negative.

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient. Identify the degree of the polynomial and the sign of the leading coefficient

Leading Coefficient Positive Degree - Even

Leading Coefficient Positive Degree - Odd

Leading Coefficient Negative Degree - Even

Leading Coefficient Negative Degree - Odd

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Polynomial Key Features

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Mathematics

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9th - 12th Grade

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Practice Problem

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Hard

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CCSS

HSF-IF.C.7C, HSF-IF.C.7A, HSA.APR.B.3

Standards-aligned

Barbara White

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26 questions

Show all answers

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the y-intercept of x² + 2x + 1?

What is the degree of x² + 3x³ - x⁴?

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the degree of x(x + 2)(x - 3)?

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the degree of (x + 2)(x - 1)(x + 3)(x - 2)²?

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is a possible degree of the graphed polynomial?

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is a possible degree of the graphed polynomial?

What is the degree of the graphed polynomial?

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