Inverse Relations and Their Properties

The video tutorial explains how to find the inverse of a relation by switching the X and Y values of each point. It then demonstrates how to graph both the original relation and its inverse. The tutorial highlights that the graph of a relation and its inverse are mirror images of each other along the line Y = X, emphasizing the concept of reflection in coordinate geometry.

What is the first step in finding the inverse of a relation?

• Subtract the Y value from the X value

• Add the X and Y values

• Switch the X and Y values

• Graph the relation

What is the result of switching the X and Y values in a point?

• The point is halved

• The point is doubled

• The point remains the same

• The point becomes its inverse

What happens to the points of a relation when finding its inverse?

• They are rotated

• They are reflected

• They are switched

• They are scaled

If a point in a relation is (3, 1), what is the point in its inverse?

• (3, -1)

• (1, 3)

• (1, -3)

• (-3, 1)

Which of the following points is part of the inverse relation if the original point is (2, 0)?

• (-2, 0)

• (0, 2)

• (2, 0)

• (0, -2)

What is the inverse of the point (1, -4)?

• (-4, 1)

• (4, -1)

• (1, 4)

• (-1, 4)

If the original relation contains the point (6, 1), what is the point in the inverse?

• (6, -1)

• (1, -6)

• (1, 6)

• (-6, 1)

Which of the following is NOT a point in the inverse relation if the original points are (1, -4), (2, 0), (3, 1), and (6, 1)?

• (1, 3)

• (6, 1)

• (-4, 1)

• (0, 2)

Which point is part of the original relation if its inverse contains the point (1, 3)?

• (3, 1)

• (1, 3)

• (3, -1)

• (-1, 3)

What is the inverse of the point (0, 2)?

• (2, 0)

• (0, 2)

• (-2, 0)

• (0, -2)