Cube Root and Cubic Attributes

What is the equation for the red function?

• g(x)=x³+1

• g(x)=x³-1

• g(x)=(x-1)³

• g(x)=(x+1)³

Tags

CCSS.HSF.BF.B.3

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

If f(x) = x³ is changed to f(x) = - (x + 3)³ + 2, how is the graph transformed?

• 3 units right, 2 units up, reflected across the y-axis

• 3 units right, 2 units up, reflected across the x-axis

• 3 units left, 2 units up, reflected across the y-axis

• 3 units left, 2 units up, reflected across the x-axis

Tags

CCSS.HSF.BF.B.3

What is the equation of this function?

• f(x) = (x + 2)³

• f(x) = (x - 2)³

• f(x) = ∛(x + 2)

• f(x) = ∛(x - 2)

Tags

CCSS.8.EE.A.2

What is the equation of the graph shown?

• y= (x-2)³ + 4

• y= (x+2)³ + 4

• y = - (x-2)³ + 4

• y= - (x+2)³ + 4

Tags

CCSS.HSF.BF.B.3

What is the range of ALL cubic functions expressed as an inequality?

• [-∞, ∞]

• (-∞,∞)

• -∞≤y≤∞

• -∞<y< ∞

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the Domain of ALL Cube Root Functions in interval notation?

• (−∞,∞)

• −∞<x<∞

• (−∞,0]

• All Cube Root Functions are different.

What is the y-intercept of f(x) = (x + 2)³ - 6?

• (2, 0)

• (-0.5, 0)

• (0, 2)

• (0, -0.5)