Inverse of cubic functions

What does it mean to find the inverse of a function?

• the x's and y's are switched
• the x's and y's are divided by 2
• the x's and y's are made negative
• the x's and y's are the same

Tags

CCSS.HSF-BF.B.4A

What transformations has the function undergone?

• reflect over y, vertical compress by 2, right 5, up 1
• reflect over x, horizontal compression by 2, left 5, up 1
• reflect over x, vertical stretch by 2, right 5, up 1
• reflect over y, horizontal stretch by -2, right 5, up 1

Tags

CCSS.HSF.BF.B.3

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) = ∛(x) is reflected over the x-axis, vertically compressed by a factor of 1/4, and shifted left 9, which equation is correct?

• 1/4 ∛(x + 9)
• 1/4 ∛(x - 9)
• - 1/4 ∛(x + 9)
• - 1/4 ∛(x - 9)

Tags

CCSS.HSF.BF.B.3

Find the inverse: f(x) = x³-1

• f^-1(x)= ³√x+1

• f^-1(x)= ³√x-1

• f^-1(x)= (x-1)/3

• f^-1(x)= (x+1)/3

Tags

CCSS.HSF-BF.B.4A

Find the inverse of f(x) = x² - 5

• f^-1(x) = √(x) + 5
• f^-1(x) = ∛(x-5)
• f^-1(x) =√(x+5)
• f^-1(x) = x² - 5

Tags

CCSS.HSF-BF.B.4A

Find the inverse of f(x) = -4x - 12

• f^-1(x) = 4x - 3
• f^-1(x) = -1/4x - 3
• f^-1(x) = 1/4x + 3
• f^-1(x) = -4x - 3

Tags

CCSS.HSF-BF.B.4A

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

Tags

CCSS.HSF-BF.B.4A

Which is f^-1(x)?

• f^-1(x)=4(x+3)³
• f^-1(x)=(4x+12)³
• f^-1(x)=3+1/4(x)³
• f^-1(x)=1/4(x+3)³

Tags

CCSS.HSF-BF.B.4A

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

Tags

CCSS.HSF-BF.B.4A