Lesson: inverse of functions and graphs

Which graph represents the cube function (red) and its inverse (blue) ?

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Which of the following represents the cubic function?

• $f\left(x\right)=x^3$

• $f\left(x\right)=3x$

• $f\left(x\right)=x^2$

Which of the following is the inverse of the cube function?

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Q4. The teacher will mirror a similar problem.  You will follow the same steps while working out your problem.

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Q5. The teacher will mirror a similar problem.  You will follow the same steps while working out your problem.

• $f^{-1}\left(x\right)=\frac{1}{3}\left(x+7\right)^3$

• $f^{-1}\left(x\right)=\frac{1}{3}x^3-7$

• $f^{-1}\left(x\right)=-3\left(x+7\right)^3$

Q6. The teacher will mirror a similar problem.  You will follow the same steps while working out your problem.

• $f^{-1}\left(x\right)=\left(-x-6\right)^2-2\$ with no restricted domain.

• $f^{-1}\left(x\right)=\left(-x-6\right)^2-2\$ with restricted domain (- ∞,-6]

• $f^{-1}\left(x\right)=\left(-x-6\right)^2-2\$ with restricted domain [-6, ∞)

The inverse of the function f(x) is written as ...

• f ^-1(x)
• f ²(x)
• f '(x)
• f ⁺(x)

Tags

CCSS.HSF.BF.B.4

The inverse has been reflected over which line?

• y = x
• x = 0
• y = 0
• x = -y

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.IF.B.4

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

Which of the following is NOT TRUE about inverse functions?

• Inverse functions are reflections of each other over the line y = x.

• You find the inverse by switching x and y in the equation.

• The domain of a function always becomes the domain of its inverse.

• The domain of a function always becomes the range of its inverse.

Tags

CCSS.HSF-BF.B.4C

What's the best description?

• They are both functions, but not inverse functions.

• They are reflected over y=x, but they are not both functions.

• They are not reflected over y=x, and they are not both functions.

• They are inverse functions.

Tags

CCSS.HSF-BF.B.4B