Rough Graphs of Polynomials

y = -x⁴ + 5x³ + 2 y = -x³ y = x³ - 3x - 2 y = -x³ + 3x + 2

• y = -x⁴ + 5x³ + 2

• y = -x³

• y = x³ - 3x - 2

• y = -x³ + 3x + 2

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

• A.
• B.
• C.
• D.

• 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

• 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

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

Which of the following correctly identifies the End Behavior?

• 
• 
• 
• 

If a zero of a polynomial function has multiplicity 2 (is a double), that means:

• There is a zero at 2

• The graph will "bounce" off the x-axis at that zero

• The graph will "cross" the x-axis at that zero

• Double zeros don't exist

What degree is the function?

• 1

• 2

• 4

• 10

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