Square Root/Cube Root Functions

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

• (1,-3)

• (-1,-3)

• (-3,1)

• (-3,-1)

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

• [1,∞)

• (∞,1]

• [-3,∞)

• (∞,-3]

What is the parent function of square root functions?

• f(x) = x

• f(x) = √x

• f(x) = -√x

• f(x) = x²

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

• [1,∞)

• (∞,1]

• [-3,∞)

• (∞,-3]

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

• Shifted right 5, shifted down 2, and reflected over the x-axis

• Reflected over the x-axis, vertical stretch, and shifted right 5

• Reflected over the x-axis, vertical stretch, and shifted left 5

• Shifted right 5, shifted down 2

Describe the transformations.

• Translate Right 2, Down 4

• Translate Left 2, Down 4

• Translate Left 2, Up 4

• Translate Right 2, Up 4

Understanding the properties of cube root and square root functions: What is the range of the cube root function?

• Only negative numbers

• Only integers

• All real numbers

• Only positive numbers

Understanding the properties of cube root and square root functions: What is the domain of the square root function?

• (-∞, +∞)

• [0, 1]

• (-∞, 0)

• [0, +∞)

Understanding the properties of cube root and square root functions: What is the effect of changing the coefficient in front of the square root function?

• It will shift the graph to the left.

• It will stretch or compress the graph vertically.

• It will rotate the graph horizontally.

• It will have no effect on the graph.