Polynomial Functions

Which of the following could be a possible equation for the function shown?

• f(x) =-2x³ + x² - 5x + 1

• f(x) = 2x³ - 4x² + x + 1

• f(x) = 3x² + 5x + 1

• f(x) = -2x³ +3x - 1

Tags

CCSS.HSA.APR.B.3

Select all the graphs which show even degree functions.

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Which description best matches the function shown:

• Odd degree with positive leading coefficient.

• Even degree with positive leading coefficient.

• Degree three, with negative leading coefficient.

• Degree four, with negative leading coefficient.

Identify the zeros:

• x=2, x=6, x=-4
• (x+2)(x+6)(x-4)
• (x-2)(x-6)(x+4)
• x=-2, x=-6, x=4

Tags

CCSS.HSA.APR.B.3

In the above graph, which root has a multiplicity of 2?

• -1

• -3

• -120

• 4

Describe the end behavior of
f(x) = -5x⁴ - 2x² + 8

• Left side: Rises  
   Right side: Rises
• Left Side:  Rises
  Right side: Falls
• Left side: Falls
  Right side: Rises
• Left side: Falls
  Right side: Falls

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

• True
• False

What is the leading coefficient?

• Positive 
• Negative