Multiplicity and End Behavior of Polynomials

This is the correct end behavior model for the function
y = -2 (x - 2)³(x² + 1)

• true

• false

Which of these describes end behavior for the polynomial y = 3x⁴ + 2x³ - 7?

• a

• b

• c

• d

Which of these polynomials has end behavior described in option c?

•  y= (x² + 3)(x + 2)

• y = -3x(x + 4)³

• y = -3x(x + 2)⁴

• none of these

Polynomial function f(x) =  x⁴ - 4x³ + 5x² - 4x + 4 is known to have a zero of x = 2 with a multiplicity of 2. Does this mean (x - 2) divides the polynomial twice?

• yes

• no

The end behavior can be written as: x→∞, y→? and as x→−∞, y→?

Match the following graph with an equation that has the same End Behaviors

• 
• 
• 
• 

Which choice is correct?

• This function has and even degree

• This function has a negative leading coefficient

• This function has a zero at 1.

• The zero at −2 has even multiplicity.

• Increasing

• Decreasing

Please select the solution that describes if zeros crosses or turns at the x-axis for each x-intercept.

• 2 crosses, 1 crosses, -3 turns, -4 turns   

• 1 crosses, -3 turns, - 4 crosses

• 1 crosses, -3 turns, -4 turns  

• 1 turns, -3 crosses, -4 crosses  

Describe the end behavior of the graph.

• x → -∞, f(x) → ∞ and x→∞, f(x) →⁻∞

• x → -∞, f(x) → ∞ and x→∞, f(x) →∞

• x → -∞, f(x) → ∞ and x→∞, f(x) → 0

• x → -∞,f(x) → -∞and x→ ∞, f(x) → ∞