Polynomial Characteristics

Polynomial Characteristics

Multiple Choice

The domain of a polynomial function is always (-∞, +∞).

• True
• False

Multiple Choice

What is the Range of the function being graphed?

• (-∞, ∞)

• [7, ∞)

• (-∞, 7]

• [-1, 1]

Multiple Choice

What is the range of this function?

• All real numbers.
• [2, infinity)
• [-2, infinity)
• [0, infinity)

Multiple Choice

Which one of the following could be the polynomial seen in the image?

• y = (x -3)(x + 1)(x − 2)

• y = -(x + 3)(x + 1)(x − 2)

• y = -(x − 3)(x + 1)(x + 2)

• y = (x + 3)(x + 1)(x + 2)

Multiple Choice

Which zero has a multiplicity of 1?

• x= -1

• x=2

• x=4

• Cannot be determined

Multiple Choice

Which zero has a multiplicity of 2?

• x= -1

• x=2

• x=4

• Cannot be determined

Multiple Choice

Which zero has a multiplicity of 3?

• x= -1

• x=2

• x=4

• Cannot be determined

Multiple Choice

List the x-intercepts.

• (0,0) and (4,0)

• 0,4

• (0,0) and ( -4, 0)

• Cannot be determined.

Multiple Choice

What are the zeros of the graph?

• -4, -1, 2, 1 multiplicity 2
• -4, -1, 1, 2
• 4, 1, -2, -1 multiplicity 2
• 4, 1, -1, -2

Multiple Choice

What are all the y-intercepts?

• (0, -6.25)
• (-3,0), (-2,0), (2,0), (3,0)
• (0, 36)
• (-∞, ∞)

Multiple Choice

Which of the following statement is FALSE?

• There is a relative min at the point (8,0)

• There is another relative min at the point (0,-7.5)

• There is a relative max at the point (5,2.5)

• There are more relative maximums than there are relative minimums.

Multiple Choice

Which of the following does this graph not show?

• absolute max
• absolute min
• relative max
• relative min

Multiple Choice

What is the relative maximum value?

• y = 4
• y = 2
• y = 1
• y = -1

Multiple Choice

How would you describe the point at (0,6)?

• Relative Minimum

• Absolute Minimum

• Relative Maximum

• Absolute Maximum

Multiple Choice

The relative minimum value is ...

• -1.5

• 0.35

• 1.5

• -3.9

Multiple Choice

Determine the end behavior:

 $As\ x\rightarrow-\infty,\ y\rightarrow_{\ \ }$  ____  $As\ x\rightarrow\infty,\ y\rightarrow$  ____

•  $\infty,\ -\infty$  

•  $-\infty,\ \infty$  
  

•  $-\infty,-\infty$  
  

•  $\infty,\infty$  
  

Multiple Choice

In the above graph complete the following end behavior:
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____

• -∞
  -∞
• +∞
  -∞
• -∞
  +∞
• +∞
  +∞

Multiple Choice

As  $x\rightarrow-\infty$  ,  $y\rightarrow$  ___ As  $x\rightarrow\infty$  ,  $y\rightarrow$  ___

•  $\infty,\infty$  
  

•  $-\infty,-\infty$  
  

•  $\infty,-\infty$  
  

•  $-\infty,\infty$  
  

Multiple Choice

Find the average rate of from x= -2 to x= 0

• -2

• -1

• 2

• 1

Multiple Choice

Find the average rate of change for the interval: [-6,0]

• 6

• 4

• 2/3

• -3/2