Functions and Their Inverse

The inverse has been reflected over which line?

• y = x

• x = 0

• y = 0

• x = -y

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.

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

To which intervals could we restrict the domain of f(x) to make it an invertible function? Choose all answers that apply.

• -4 ≤ x ≤ 4

• x ≥ 0

• x ≤ 0

• none of the above

• none of these

What is m(4) if:

• -3

• 0.5

• 0

• -3.5

Which is f ^-1(x)?

• f ^-1(x) = 5x + 3

• f ^-1(x) = 5x - 3

• f ^-1(x) = 5x - 15

• f ^-1(x) = 1/5(x) + 3/5

Are these two inverse functions?

• Yes

• No

• They are inverses but the inverse is not a function

• They are inverses but F(x) is not a function

Find the Domain and Range for the graph.

• D:(-∞, ∞)
  R:(-∞, ∞)

• D:(-∞, ∞)
  R:[-4, ∞)

• D: [-4, ∞)
  R:(-∞, ∞)

• D:(-4, ∞)
  R:(-∞, ∞)

What is the equation that the inverse will reflect across?

• y = x

• y = 0

• x = 0

• Potato