Properties of Polynomial Graph

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

Describe the end behavior of
f(x) = 2x² + 6x⁵ + 10x

• Left side:  Rises
  Right side: Rises

• Left side: Falls
  Right side: Rises

• Left side:Rises
  Right side: Falls

• Left side: Falls
  Right side: Falls

• y = x(x - 3)(x - 2)
• y = x(x - 3)² (x+2)
• y = x(x + 3)² (x - 2)
• y = -x(x + 3)² (x - 2)

• 4th degree polynomial with a positive leading coefficient
• 4th degree polynomial with a negative leading coefficient
• 3rd degree polynomial with a positive leading coefficient
• 3rd degree polynomial with a negative leading coefficient

Which equation MOST LIKELY matches the graph?

• y = x⁴ - x³ + 3x² + 2

• y = -x⁴ + x³ + 5x + 2

• y = x³ - 2x² + 1x + 3

• y = -x³ - 2x² + 1x + 3

What degree is the function?

• 1

• 2

• 4

• 10

For each function, determine the real zeros and state the multiplicity of any repeated zeros.

• {0 mult. 3, 5, 2}

• {−2 mult. 3, 3, 1}

• {0 mult. 3, 3, 2}

• {2 mult. 3, 3, 3}

Which function is graphed?

• (x - 4)(x + 2)(x - 8)=y

• (x - 4)(x - 2)(x + 8)=y

• (x - 4)(x + 2)(x + 8)=y

• (x + 4)(x + 2)(x + 8)=y

What is the minimum of this graph?

• 2

• 4

• -3

• -1

Which of the following correctly identifies the End Behavior?

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