4.1.2 Relations and Functions − Worksheet
Example 1: Express each relation as a table, as a graph, and as a mapping diagram. 1. {(1, 1), (1, 2)} 2. ( ) − − 1,1 , 2,
⎧ ⎨ ⎩
⎫ ⎬ ⎭
⎞ ⎠ ⎟ − ⎛ ⎝ ⎜
⎞ ⎠ ⎟ − ⎛ ⎝ ⎜
⎛ ⎝ ⎜
⎞ ⎠ ⎟
1 2
1 3
1 4
, 3,
, 4,
3. {( − 1, 1), ( − 3, 3), (5, − 5), ( − 7, 7)}
4. {(0, 0), (2, − 4), (2, − 2)}
Example 2:
Give the domain and range of each relation.
5. {( − 5, 7), (0, 0), (2, − 8), (5, − 20)}
6. {(1, 2), (2, 4), (3, 6), (4, 8), (5, 10)}
7.
8.
y
x y
3 5 2 8 6 9 25 4 81 36
4 5 1 2 3
x
0
1 2 3 4 5
Example 3:
Give the domain and range of each relation. Tell whether the relation is a function. Explain.
9. {(1, 3), (1, 0), (1, − 2), (1, 8)}
10. {( − 2, 1), ( − 1, 2), (0, 3), (1, 4)}
11.
12.
y
x y
− 2 − 1 0 1 2 1 1 1 1 1
2
x
–2
2
–2
198
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