Cubic Polynomial Functions

The graph of a function is shown.  What are the domain and range of this function?

• Domain: (-∞, ∞)
  Range: (-∞, 2]

• Domain: [2, ∞)
  Range: (-∞, ∞)

• Domain: (-∞, ∞)
  Range: (-∞, ∞)

• Domain: (-∞, 2]
  Range: [2, ∞)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

27x³ - 1

• (3x - 1)(9x² + 3x + 1)

• (2x - 1)(4x² + 2x + 1)

• (3x - 2)(9x² + 6x + 4)

• (4x + 1)(16x² + 4x + 1)

Tags

CCSS.HSA.APR.C.4

Solve, choose all that apply.

x³ - 8x² +16x = 0

• 0

• 4

• -4

• 4i

• -4i

Tags

CCSS.HSA-REI.B.4B

Find the zeros of the polynomial f(x)= x³ +2x² -3x

• 3,0,2

• 3, 5, 6

• 9,8,1

• -3,0,1

Tags

CCSS.HSF-IF.C.7C

Which of these represents a CUBIC function?

• 
• 
• 
• 

125x³ - 64

• (5x - 4)(25x² + 20x + 16)

• (5x + 2)(25x² - 10x + 4)

• (3x - 1)(9x² + 3x + 1)

• (4x - 3)(16x² + 12x + 9)

Tags

CCSS.HSA.APR.C.4

Expand, using the binomial theorem.

(b - 2)³

• b³ - 2b² + 4b - 8

• 5b³ - 20b² + 40b - 40

• b³ - 6b² + 12b - 8

• 4b³ - 12b² + 16b - 8

Tags

CCSS.HSA.APR.C.5

Factor by grouping:

x³+7x²-2x-14

• (x²-2)(x-7)

• (x²+2)(x-7)

• (x²+2)(x+7)

• (x²-2)(x+7)

Solve and choose all that apply.

x³ +125 = 0

• (5 + 5i√3) / 2

• 5

• 5+5i

• (5 - 5i√3) / 2

• -5

Tags

CCSS.8.EE.A.2

Divide (4x³-2x²-3) by (2x²-1).

• 2x-1 R(2x-4)

• 2x+3 R(x-3)

• 2x-1 R0

• 2x+3 R(3x-5)

Tags

CCSS.HSA.APR.D.6