Characteristics of Polynomials

Characteristics of Polynomials

Multiple Choice

Which root has a multiplicity of 2?

• -1

• 2

• 4

• -4

Multiple Choice

Which root has a multiplicity of 3?

• -1

• 2

• 4

• -4

Multiple Choice

What is the end behavior as  $x\rightarrow-\infty$  ?

•  $y\rightarrow\infty$ 

•  $y\rightarrow0$ 

•  $y\rightarrow-\infty$ 

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

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

What is the end behavior as x → +∞, f(x)→ ?

• 
  

  $-\infty$

• $\infty$
  

Multiple Choice

What is the end behavior as x → -∞ f(x)→ ?

• $-\infty$

• $\infty$

Multiple Choice

What are all the y-intercepts?

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

Multiple Choice

What are all the x-intercepts?

• (-2.55, 0), (2.55, 0)
• (-3,0), (-2,0), (2,0), (3,0)
• (0, 36)
• (-∞,∞)

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

What is the range of this function?

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

Multiple Choice

What is the range of this quadratic function?

• All real numbers.
• [2, infinity)
• [4, infinity)
• (negative infinity, 4]

Multiple Choice

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

• True
• False

Multiple Choice

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

• True
• False