Square and Cube Root Functions

Which is the graph of the square root parent function?

• A
• B
• C
• D

Tags

CCSS.HSF-IF.C.7B

What is the domain of this function?
f(x) = √(x-2) + 4

• [2,∞)
• (-∞,2]
• (∞,2]
• [4,∞)

What is the range of this function?
f(x) = √(x-2) + 4

• (-∞,4]
• (-∞,2]
• (∞,4]
• [4,∞)

What is the equation of the graph?

• y = √(x - 3)
• y = √(x) + 3
• y = √(x - 5) + 4
• y = √(x + 5) + 4

Tags

CCSS.HSF-IF.C.7B

Describe the transformation:
y = -√x

• Translate Down 1
• Translate Right 1
• Reflection over the x-axis
• Reflection over the y-axis

Tags

CCSS.HSF.BF.B.3

Name the parent function.

• linear
• quadratic
• cube root
• cubic

Tags

CCSS.HSF-IF.C.7B

Describe the transformations of the graph shown.

• Shifted down 4 units, vertical shrink by 3, and shifted 6 units right.

• Shifted down 4 units, horizontal shrink by 3, and shifted 6 units left.

• Shifted down 4 units, vertical stretch by 3, and shifted 6 units left.

• none of the above.

Tags

CCSS.HSF.BF.B.3

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

What is the domain of this function?
f(x) = √(x-1) -3

• [1,∞)
• (∞,1]
• [-3,∞)
• (∞,-3]

What is the endpoint of this function?
f(x) = √(x-1) -3

• (1,-3)
• (-1,-3)
• (-3,1)
• (-3,-1)

Tags

CCSS.HSF-IF.C.7B