Square Root, Cube Root, Cubics

Identify the Transformations. 

• Vertical stretch by 2 and down 4
• Horizontal compression by ½ and down 4
• Vertical stretch by 2 and up 4
• Horizontal compression by ½ and right 4

Tags

CCSS.HSF.BF.B.3

What kind of function is represented by the graph?

• Cube Root Function
• Cubic Function
• Polynomial Function
• Square Root Function

Tags

CCSS.HSF-IF.C.7B

  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.HSA.APR.A.1

CCSS.HSA.REI.D.11

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.HSF.IF.B.5

CCSS.8.F.A.1

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 Domain of ALL Cube Root Functions in interval notation?

• (−∞,∞)
• −∞<x<∞
• (−∞,0]
• All Cube Root Functions are different.

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

What is the domain for:

g(x) = √(x + 5) - 3

• A

  -3 ≤ x < ∞

• B

  − ∞ < x ≤ -3

• C

  -5 ≤ x < ∞

• D

  − ∞ < x ≤ -5

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5

What is the Range for:

g(x) = √(x + 5) - 3

• A

  -3 ≤ y < ∞

• B

  − ∞ < y ≤ -3

• C

  -5 ≤ y < ∞

• D

  − ∞ < y ≤ -5

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which function matches the graph?

• A

  f(x) = √(x - 4) - 2

• B

  f(x) = √(x + 2) - 4

• C

  f(x) = √(x - 2) - 4

• D

  f(x) = √(x + 4) - 2

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

What is the Range for the graph?

• A

  -4 ≤ y < ∞

• B

  − ∞ < y ≤ -2

• C

  -2 ≤ y < ∞

• D

  − ∞ < y ≤ -4

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7