Inverse Functions and Piecewise Functions

Which piecewise function corresponds to this graph? (Take your time)

• f(x) = { x  if x < 4;   -x+1  if x ≥ 4

• f(x) = { x  if x ≤ 4;  -x+1  if x > 4

• f(x) = { -x+1  if x < 4;  x  if x ≥ 4

• f(x) = { -x+1  if x ≤ 4;  x if x > 4

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

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• A

• B

• C

• D

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

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

• A

• B

• C

• D

What is the first step in finding the equation of the inverse of a function?

• get x by itself

• switch x and y

• solve for y

• write the function in inverse function notation

Are these functions inverses?

• Yes

• No

Which is the inverse of the table?

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Given the piecewise function, evaluate g(4).

• 4

• 2

• -7