Cubic and Cube Roots as Inverses

What is the inverse of the function?

• $f^{-1}\left(x\right)=\ \left(\frac{x-9}{3}\right)^3$

• $f^{-1}\left(x\right)=\ \left(\frac{x-3}{9}\right)^3$

• $f^{-1}\left(x\right)=^3\sqrt{\frac{x-9}{3}}$

• $f^{-1}\left(x\right)=^3\sqrt{x-9}+3$

Tags

CCSS.HSF-BF.B.4A

What is the inverse of the given function?

• $f^{-1}\left(x\right)=^3\sqrt{-2x+12}$

• $f^{-1}\left(x\right)=^3\sqrt{-2x}+12$

• $f^{-1}\left(x\right)=\left(-2x+12\right)^3$

• $f^{-1}\left(x\right)=\left(2x-12\right)^3+12$

Tags

CCSS.HSF-BF.B.4A

What is the inverse of the given function?

• $f^{-1}\left(x\right)=^3\sqrt{5x+5}-4$

• $f^{-1}\left(x\right)=^3\sqrt{5x+1}$

• $f^{-1}\left(x\right)=^3\sqrt{5x+9}$

• $f^{-1}\left(x\right)=^3\sqrt{5x-4}+5$

Tags

CCSS.HSF-BF.B.4A

What is the inverse of the given function?

• $f^{-1}\left(x\right)=-\left(x-3\right)^3+9$

• $f^{-1}\left(x\right)=\left(x-3\right)^3-9$

• $f^{-1}\left(x\right)=-\left(x-9\right)^3+3$

• $f^{-1}\left(x\right)=-\left(x+9\right)^3-3$

Tags

CCSS.HSF-BF.B.4A

Are the two functions inverses of each other?

• yes

• no

Tags

CCSS.HSF-BF.B.4B

Are these two functions inverses of each other?

• yes

• no

Tags

CCSS.HSF-BF.B.4B

Identify the Transformations. 

• Vertical stretch by 2 and down 4
• Horizontal compression by ½ and down 4
• Vertical stretch by 2 and up 4
• Horizontal compression by ½ and right 4

Tags

CCSS.HSF.BF.B.3

  What is the equation for the red function? 

• g(x)=x³+1
• g(x)=x³-1
• g(x)=(x-1)³
• g(x)=(x+1)³

Tags

CCSS.HSA.REI.D.11

CCSS.HSA.APR.A.1

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, ∞)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

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

Tags

CCSS.HSF.BF.B.3