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Laabri

4.a Graphs of Polynomial Functions

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Last updated over 3 years ago
33 Nsɛmmisa

A 5th degree polynomial has a positive leading coefficient. Identify the following:

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1.

Maximum number of relative maxima/minima.

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2.

Maximum number of x-intercepts.

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3.

End behavior of the polynomial.

A linear polynomial has a negative leading coefficient. Identify the following:

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4.

Maximum number of relative maxima/minima.

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5.

Maximum number of x-intercepts.

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6.

End behavior of the polynomial.

A 4th degree polynomial has a negative leading coefficient. Identify the following:

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7.

Maximum number of relative maxima/minima.

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8.

Maximum number of x-intercepts.

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9.

End behavior of the polynomial.

A quadratic polynomial has a positive leading coefficient. Identify the following:

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10.

Maximum number of relative maxima/minima.

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11.

Maximum number of x-intercepts.

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12.

End behavior of the polynomial.

Given the equation: y = -2x3 + 3x + 1

Identify the following:

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13.

Maximum number of relative maxima/minima.

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14.

Maximum number of x-intercepts.

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15.

End behavior of the polynomial.

Given the equation: f(x) = 4x - 2 + 5x7

Identify the following:

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16.

Maximum number of relative maxima/minima.

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17.

Maximum number of x-intercepts.

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18.

End behavior of the polynomial.

Given the equation: f(x) = 1 + 2x6 + x2 - 2x6

Identify the following:

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19.

Maximum number of relative maxima/minima.

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20.

Maximum number of x-intercepts.

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21.

End behavior of the polynomial.

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22.

What are the interval(s) where the function is increasing?

Write your answers as

with no spaces and reading left to right.

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23.

What are the interval(s) where the function is decreasing?

Write your answers as

with no spaces and reading left to right.

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25.

What is the minimum degree of the polynomial?

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26.

What are the interval(s) where the function is increasing?

Write your answers as

with no spaces and reading left to right.

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27.

What are the interval(s) where the function is decreasing?

Write your answers as

with no spaces and reading left to right.

1
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29.

What is the minimum degree of the polynomial?

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30.

What are the interval(s) where the function is increasing?

Write your answers as

with no spaces and reading left to right.

1
Asemmisa {{asɛmmisaAhyɛnsode}}
31.

What are the interval(s) where the function is decreasing?

Write your answers as

with no spaces and reading left to right.

1
1
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33.

What is the minimum degree of the polynomial?

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24.

End behavior of the polynomial.

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28.

End behavior of the polynomial.

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32.

End behavior of the polynomial.