From 11:00PM PDT on Friday, July 1 until 5:00AM PDT on Saturday, July 2, the Shmoop engineering elves will be making tweaks and improvements to the site. That means Shmoop will be unavailable for use during that time. Thanks for your patience!

# Relations Exercises

### Example 1

Is {(3, 4), (4, 5), (5, 6), . . .} a relation?

### Example 2

Is {(1, 2), (2, 5, 17), (4, 5)} a relation?

### Example 3

Is {(1, 1)} a relation?

### Example 4

Find the domain and range for the following relation. Remember that each element of a set need only be listed once.

{(1, 1), (2, 1), (3, 1)}

### Example 5

Find the domain and range for the following relation. Remember that each element of a set need only be listed once.

{(1, 3), (2, 4), (3, 5), (4, 6) , . . .}

### Example 6

Find the domain and range for the following relation. Remember that each element of a set need only be listed once.

{(a, b), (c, d), (e, c)}

### Example 7

For the following relation, write an equation that describes the connection between x (the first number in an ordered pair) and y (the second number in an ordered pair).

{(1, 1), (1, -1), (4, 2), (4, -2), (9, 3), (9, -3)}

### Example 8

For the following relation, write an equation that describes the connection between x (the first number in an ordered pair) and y (the second number in an ordered pair).

{(1, 4), (2, 3), (3, 2), (4, 1), (5, 0), (6, -1), (7, -2)}

### Example 9

Find the relation described: x + y = 6 and x is an integer between 4 and 7.

### Example 10

Find the relation described: |x| = y. Remember that absolute value thing from way back when?