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6.1 Attributes of Polynomial Functions

Authored by Matt Ortiz

Mathematics

9th - 12th Grade

Used 15+ times

6.1 Attributes of Polynomial Functions
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12 questions

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1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

Which of the following statements is false about the graph of the polynomial function given?

The function passes through the origin.

The function has a zero at -3.

The function has a local maximum at (-1.76, -3.46).

The function has an x-intercept at (3,0).

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

A polynomial function, P(x), is shown on the grid. Which of the following statements is false about the graph of P(x)?

P(x) has a local minimum at (-3,-2).

P(x) has a root of -5.

P(x) has a global maximum at (3, 2).

P(x) has an x-intercept at (5,0).

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

The graph of a polynomial function is shown on the grid. Which of the following statements about the function is false?

The function has a global minimum at (2.2, -2.8).

The function has a global maximum at (-0.2,2.1).

The function has a local minimum at (-2,0).

The graph has y-intercept at (0,2).

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the degree of the polynomial function  f(x)=5x7+4x63x411x2+6f\left(x\right)=-5x^7+4x^6-3x^4-11x^2+6  ?

-5

5

7

-11

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the degree of the polynomial function  g(x)=2x3+4x57x2+1g\left(x\right)=2x^3+4x^5-7x^2+1  ?

5

3

-7

4

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the degree of the function  f(x)=x(x+3)(x4)f\left(x\right)=x\left(x+3\right)\left(x-4\right)  ?

1

2

3

4

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

Which of the following best describes the end behavior of the polynomial function,  f(x)f\left(x\right)  , shown in the graph?

 limxf(x)=\lim_{x\rightarrow-\infty}f\left(x\right)=\infty  and  limxf(x)=\lim_{x\rightarrow\infty}f\left(x\right)=\infty  

 limxf(x)=\lim_{x\rightarrow-\infty}f\left(x\right)=\infty   and  limxf(x)=\lim_{x\rightarrow\infty}f\left(x\right)=-\infty  

 limxf(x)=\lim_{x\rightarrow-\infty}f\left(x\right)=-\infty  and  limxf(x)=\lim_{x\rightarrow\infty}f\left(x\right)=\infty  

 limxf(x)=\lim_{x\rightarrow-\infty}f\left(x\right)=-\infty  and  limxf(x)=\lim_{x\rightarrow\infty}f\left(x\right)=-\infty  

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