Radical and Cube Root Functions

Which function matches the graph?

• f(x) = − ∛(x + 3) − 1

• f(x) = − ∛(x - 3) − 1

• f(x) = ∛(x + 3) − 1

• f(x) = ∛(x - 1) + 3

Tags

CCSS.HSF-IF.C.7B

If f(x) = ∛(x) is reflected over the x-axis, vertically shrunk by a factor of 1/4, and shifted left 9, which equation is correct?

• 1/4 ∛(x + 9)

• 1/4 ∛(x - 9)

• - 1/4 ∛(x + 9)

• - 1/4 ∛(x - 9)

Tags

CCSS.HSF.BF.B.3

What are the transformations for the graph of
the parent function f(x) = √x  to the function above 

• Vertical Stretch by a factor of 2; translated down 5 units 

• Shifted right 2 units and down 5 units 

• Vertical stretch by a factor of 2; translated left 5 units

• Vertical stretch by a factor of 2; translated right one unit 

Tags

CCSS.HSF.BF.B.3

What kind of function is represented by the graph?

• Cubic Root Function

• Cubic Function

• Polynomial Function

• Square Root Function

Tags

CCSS.HSF-IF.C.7B

What is the domain of this function?

• x ≥ 2

• x ≤ 2

• x ≥ 4

• x ≤ 4

What is the domain and range of a cube root function?

• x ≥ 0 and y ≥ 0

• x ≤ 0 and y ≤ 0

• x = All real numbers and y = All real numbers

• All of the above

Find the domain and range of the function

• x ≥ -1

• x ≥ 1

• x ≤ -1

• x ≤ 1/4

Identify the domain of the function.

• x ≥ 5/2

• x ≥ 5

• x ≥ 0

• x ≥ 2/5

• y = 2 √(x) - 4
• y = - √(x - 4)
• y = 2 √(x)
• y = 2 √(x) + 4

Tags

CCSS.HSF-IF.C.7B

Match the correct equation with the given graph.

• y = - √(x + 1)

• y = √(x + 1)

• y = - √(x) - 1

• y = - √(x) + 1

Tags

CCSS.HSF-IF.C.7B