Inverse Functions and Reflections

The video tutorial explains how to find the inverse of functions by reflecting points over the identity line. It covers both graphical and algebraic methods, providing practical examples to illustrate the process. The tutorial emphasizes the importance of swapping x and y coordinates to find inverses and concludes with a recap of the key concepts discussed.

What is the identity line used for reflecting inverse functions?

• y = 0

• x = 0

• y = -x

• y = x

What happens to the coordinates of a point when finding its inverse?

• They are multiplied by -1

• They are swapped

• They are squared

• They remain the same

If a point (4, 1) is reflected over the identity line, what will be its new coordinates?

• (1, 4)

• (-4, 1)

• (4, -1)

• (-1, 4)

What is the result of reflecting a point over the y-axis?

• Neither coordinate changes

• Both coordinates change sign

• The y-coordinate changes sign

• The x-coordinate changes sign

What is the result of reflecting a point over the x-axis?

• Both coordinates change sign

• Neither coordinate changes

• The y-coordinate changes sign

• The x-coordinate changes sign

What is the inverse of the point (3, -3)?

• (-3, 3)

• (3, 3)

• (-3, -3)

• (3, -3)

Why might the inverse of a set of points not be a function?

• Because it has no y-values

• Because it has repeated x-values

• Because it has repeated y-values

• Because it has no x-values

What is the inverse of the point (-3, 4)?

• (-4, 3)

• (4, -3)

• (3, -4)

• (-3, -4)

What is the inverse of the point (-3, 8)?

• (3, -8)

• (-3, -8)

• (-8, 3)

• (8, -3)

If a point (1, 3) is reflected over the identity line, what will be its new coordinates?

• (-1, 3)

• (3, 1)

• (1, -3)

• (3, -1)