Graphs of Cubic Polynomial Functions

What is the sign of the leading coefficient of the polynomial function whose graph appears below?

• positive

• negative

• y =  ^_(x + 2)(x - 1)²
• y = -(x - 2)(x + 1)²
• y = (x - 2)(x + 1)²
• y = -x³

In the above graph complete the following end behavior:
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____

• -∞
  -∞

• +∞
  -∞

• -∞
  +∞

• +∞
  +∞

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) → ∞

Which of the following is the graph of y = (x – 1)³ – 7?

• 
• 
• 
• 

which is the graph of the parent function of a cubic function?

• 
• 
• 
• 

• A
• B
• C
• D

What is the factored form for the following cubic function?

• x(x - 3)(x - 4)

• x(x + 3)(x + 4)

• x(x - 3)(x + 4)

• (x + 3)(x - 3)(x - 4)

Tags

CCSS.HSA.APR.B.3

What is the y-intercept of the following cubic function?

• (1, 0)

• (0, 2)

• (-1, 0)

• (2, 0)

Which of the following is the equation for the cubic function graphed above