Square Root, Cube Root and Cubic Functions

Find the cube root. 

• 9

• 3

• -9

• -3

What kind of function is represented by the graph?

• Cube Root Function

• Cubic Function

• Polynomial Function

• Square Root Function

The graph of a function is shown.  What are the domain and range of this function?

• Domain: (-∞, ∞)
  Range: (-∞, 2]

• Domain: [2, ∞)
  Range: (-∞, ∞)

• Domain: (-∞, ∞)
  Range: (-∞, ∞)

• Domain: (-∞, 2]
  Range: [2, ∞)

If f(x) = x³ is changed to f(x) = - (x + 3)³ + 2, how is the graph transformed?

• 3 units right, 2 units up, reflected across the y-axis

• 3 units right, 2 units up, reflected across the x-axis

• 3 units left, 2 units up, reflected across the y-axis

• 3 units left, 2 units up, reflected across the x-axis

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 3√x+5 (5 is inside the radical)

• x is greater than or equal to 5

• x is greater than or equal to 3

• x is less than or equal to 5

• x is greater than or equal to -5

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

• Shifted down 2

• Shifted up 2

• Shifted left 2

• Shifted right 2

• Square Root

• Cube Root

• Rational

What is the range of 3√x+2 (2 is inside the radical)

• x is greater than 2

• x is greater than -2

• x is less than 2

• I don't know.....Hmmm......

What is the y-intercept of the following cubic function?

• (1, 0)

• (0, 2)

• (-1, 0)

• (2, 0)