Cubic functions and attributes of polynomial functions

What transformations has the function undergone?

• reflect over y, vertical compress by 2, right 5, up 1
• reflect over x, horizontal compression by 2, left 5, up 1
• reflect over x, vertical stretch by 2, right 5, up 1
• reflect over y, horizontal stretch by -2, right 5, up 1

Tags

CCSS.HSF.BF.B.3

Describe the transformation of the graph y = -2(x + 5)³

• Vertical compression by 2, Reflected over y-axis, Right 5

• Vertical stretch by 2, Reflected over x-axis, Left 5

• Vertical stretch by 2, Reflected over x-axis, Right 5

• Vertical compression by 2, reflected over y-axis, Left 5

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 point of inflection for the following cubic function?

• (-3, -1)

• (0, -4)

• (-1, -3)

• (0, 0)

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

What is f(x) = x³ symmetrical about?

• x axis
• y = x
• origin
• none

Tags

CCSS.HSF.BF.B.3

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 relative max of this function??

• -3.333

• 1.185

• -2

• 0

What is the relative min of this function??

• -3.333

• 1.185

• -2

• 0

How many x-intercepts does the cubic function shown have?

• 0

• 2

• 3

• 1