Function Transformations and Inverses

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

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CCSS.HSF-BF.B.4A

What kind of function is represented by the graph?

• Cube Root Function

• Cubic Function

• Polynomial Function

• Square Root Function

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CCSS.HSF-IF.C.7B

• 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

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CCSS.HSF.BF.B.3

Will the inverse of this function be a function?

• Yes

• No

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

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CCSS.HSF-BF.B.4A

Are f(x) =x+6 and g(x) =x-6 inverses?

• Yes

• No

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CCSS.HSF-BF.B.4B

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CCSS.HSF-BF.B.4A

• Yes, they are inverses!

• No, they are not inverses.

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CCSS.HSF-BF.B.4B

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CCSS.HSF.BF.B.3

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CCSS.HSF.BF.B.3