Unit 1 Midterm Review (inverses and shifts)

Find the inverse 
f(x)=2x-2
     

• f^-1(x)=1/2x+1
• f^-1(x)=-2-1/2x
• f^-1(x)=-7/3x-20/3
• 2-2/5x

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

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

• (1, 4) and (4, 6)
• (-4, -1) and (-6, -4)
• (-1, -4) and (-4, -6)
• (4, 1) and (6, 4)

The inverse has been reflected over which line?

• y = x
• y =1
• y = 0
• y = x + 1

Find the inverse of
f(x) = 1/4x - 7

• f^-1(x) = 1/4x + 7/4
• f^-1(x) = -4x + 28
• f^-1(x) = -4x - 7
• f^-1(x) = 4x + 28

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

• f ^-1(x)
• f ²(x)
• f '(x)
• f ⁺(x)

What are the missing values if g(x)=f^-1(x)?

• (9,-5)
• (-9,-5)
• (5,9)
• (-9,5)

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.

Which graph represents f^-1(x) over the same domain?

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