Cubic Cube Root Inverse

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, ∞)

Find the cube root. 

• 9

• 3

• -9

• -3

• The range is y ≥ 1

• It has been reflected over the x-axis

• The function has been shifted up 1 unit

• The function has been shifted up 2 units

Which is f^-1(x)?

• f^-1(x)=4+∛(x+5)

• f^-1(x)=∛(x+4) +5

• f^-1(x)=5+(x+4)³

• f^-1(x)=4+(x+5)³

How do we "undo" a cube root?

• By raising the cube root to the power of 3

• By raising the cube root to the power of 2

• By multiplying by 3

What is the inverse of the function?

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What is the inverse of the given function?

What is the inverse of the function?

Which is f^-1(x)?

• f^-1(x)=3∛(x-6)

• f^-1(x)=-6+3∛x

• f^-1(x)=∛(3x-18)

• f^-1(x)=3(x-6)³