Square Root and Cube Root Functions

What type of function is shown?

• quadratic

• square root

• linear

• exponential

What is the domain for:

g(x) = √(x + 5) - 3

• A

  x ≥-3

• B

  x ≤ -3

• C

  x ≥-5

• D

  x ≤ -5

What is the Range for the graph?

• y ≥ -4

• y ≤ -2

• y ≥ -2

• y ≤ -4

Which of these equations shifts a radical equation right 5 times and down once?

• y = √(x - 5) - 1
• y = √(x + 5) - 1
• y = √(x - 5) + 1
• y = √(x + 5) + 1

Match the correct equation with the given graph.

• y = - √(x + 1)
• y = √(x + 1)
• y = - √(x) - 1
• y = - √(x) + 1

What is the range of this graph?

• y ≥ -1
• y ≤ -1
• y ≥ 0
• y ≤ 0

What is the relationship between the square root function and the quadratic function?

• They are inverses of each other.

• They are the same.

• They are opposite of each other.

• No way to tell.

Which of the following is the function shown in the graph?

• 
• 
• 
• 

What are the transformations to the graph compared to the parent function?

• Shifted right 2, shifted up 3, and reflected over the y-axis
• Shifted left 2, shifted up 3, and reflected over the y-axis
• Shifted left 2, shifted up 3, and reflected over the x-axis
• Shifted right 2, shifted up 3, and reflected over the x-axis

Which of the following is the function shown in the graph?

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