Graphing Square Root and Cube Root Functions

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 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.C.7B

What is the Range for the graph?

• A

  -4 ≤ y < ∞

• B

  − ∞ < y ≤ -2

• C

  -2 ≤ y < ∞

• D

  − ∞ < y ≤ -4

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the Domain for the graph?

• A

  -4 ≤ x < ∞

• B

  − ∞ < x ≤ -2

• C

  -2 ≤ x < ∞

• D

  − ∞ < x ≤ -4

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Which function matches the graph?

• A

  f(x) = √(x - 1) + 3

• B

  f(x) = − √(x + 1) + 3

• C

  f(x) = √(-x + 1) + 3

• D

  f(x) = − √(x + 3) − 1

Tags

CCSS.HSF-IF.C.7B