Square and Cube Root Functions

What is the domain for:

g(x) = √(x + 5) - 3

• A

  -3 ≤ x < ∞

• B

  − ∞ < x ≤ -3

• C

  -5 ≤ x < ∞

• D

  − ∞ < x ≤ -5

f(x) = √(x)

Which function is equivalent to:

g(x - 4) + 2

• A

  g(x) = 2√(x - 4)

• B

  g(x) = √(x - 4) + 2

• C

  g(x) = √(x + 2) - 4

• D

  g(x) = √(x - 4) - 2

Tags

CCSS.HSF-IF.C.7B

What is the Range for the graph?

• 2 ≤ y < ∞

• − ∞ < y ≤ 3

• 3 ≤ y < ∞

• − ∞ < y < ∞

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the Domain for the graph?

• -4 ≤ x < ∞

• − ∞ < x ≤ -2

• -2 ≤ x < ∞

• − ∞ < x ≤ -4

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the Range for the graph?

• -4 ≤ y < ∞

• − ∞ < y ≤ -2

• -2 ≤ y < ∞

• − ∞ < y ≤ -4

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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

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

What are the transformations of this functions compared to the parent function?

• Shifted down 2
• Shifted up 2
• Shifted left 2
• Shifted right 2

Tags

CCSS.HSF.BF.B.3

• Reflect over x-axis

  Reflect over y-axis Down 2

  Horizontal compression by 2

• Reflect over x-axis

  Reflect over y-axis Up 2

  Vertical compression by 2

• Reflect over x-axis

  Down 2

  Horizontal stretch by 2

• Reflect over y-axis Up 2

  Horizontal compression by 2

Tags

CCSS.HSF.BF.B.3