Skills · Functions · Function Fundamentals

Is it a function?

Printable practice with an answer key the engine computes, at three levels, in as many versions as you need.

Problem types

• ordered pairs: {(1, 4), (2, 5), (1, 6)}
• two inputs share an output (still a function): {(1, 4), (2, 5), (3, 4)}
• a table: x: 1, 2, 2, 5 and y: 3, 4, 7, 0
• a repeated input out of order: x: 1, 3, −2, 1 and y: 4, 0, 5, 7

Sample Sheet · Level 1

1. Is {(2, 6), (6, 7), (8, 0), (9, −5)} a function?
2. Is {(0, −2), (2, 9), (3, 9), (6, −1)} a function?
3. Is {(2, −4), (4, 5), (6, 3), (7, −2)} a function?
4. Is {(0, −4), (0, 1), (3, 9), (7, −3)} a function?
5. Is {(0, −4), (1, −2), (2, 2), (4, −5)} a function?
6. Is {(2, −4), (2, 7), (7, 6)} a function?
7. Is {(2, −3), (4, 1), (4, 8), (7, 6)} a function?
8. Is {(6, 0), (7, 2), (7, 4), (8, 6)} a function?

Answer key

1. yes
2. yes
3. yes
4. no
5. yes
6. no
7. no
8. no

Sample Sheet · Level 3

1. Is this table a function? 

   x	−1	1	3	5	8
   y	−3	1	4	6	9

2. Is {(3, −3), (3, −1), (7, −2), (9, 1)} a function?
3. Is this table a function? 

   x	3	9	6	3
   y	−5	−3	0	−3

4. Is {(−5, 9), (−4, 2), (0, −3), (4, 8), (8, 1)} a function?
5. Is this table a function? 

   x	−4	−2	1	8
   y	8	6	0	−1

6. Is {(−4, 1), (−2, −5), (−2, 3), (4, 4)} a function?
7. Is {(−4, 0), (−3, 9), (−2, 9), (6, 5)} a function?
8. Is this table a function? 

   x	−2	7	8	8	9
   y	−4	−1	−5	−3	−2

Answer key

1. yes
2. no
3. no
4. yes
5. yes
6. no
7. yes
8. no

Make your own

Pick the count, the level and the version, and print it with work space and the key on its own page. The same skill also makes an I Do, We Do, You Do lesson, a Mosaic, a Decoder and more.

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