Composition, Domain, Symmetry, and Inverse

When you graph a function and its inverses, what line are they symmetric over?

• Around the origin

• x=0 (the y-axis)

• y=0 (the x-axis)

• y=x

• f(x)

• 1

• x

• 0

Which of the following makes an equation a function?

• Passes the vertical line test

• Passes the horizontal line test

• Has rotational symmetry

• The domain is all real numbers

Which of the following makes a function one-to-one?

• Passes the vertical line test

• Passes the horizontal line test

• Has rotational symmetry

• The domain is all real numbers

What points would be on the inverse of this graph?

• (3, 0)

  (2, -1)

  (5, -3)

• (0, 3)

  (-1, 2)

  (-3, 5)

• (3, 0)

  (-1, 2)

  (-3, 5)

• (0, 3)

  (2, -1)

  (5, -3)

• 4

• 22

• DNE

• 0

• DNE

• 5

• -4

• 4

• -2

• 1