Relations and Functions Worksheet with Answer Key

What's on the worksheet

1. Decide if each relation is a function and name an input with more than one output:
   \{(4, -1),\ (5, -1),\ (6, 0),\ (7, 0)\}\{(-3, 5),\ (0, 2),\ (-3, -5),\ (1, 1)\}\{(2.5, 1),\ (1, 2.5),\ (2, 2)\}\{(5, 0),\ (-5, 0),\ (0, 5),\ (0, -5)\}\{(-1, 6),\ (3, 6),\ (-1, 6),\ (5, 2)\}
2. Decide if each quantity is a function of the other, with a reason for each no.
3. Find the values of p and m that make a set of pairs a function.
4. Turn a function round by swapping inputs and outputs, and decide if it is still a function.
5. Write Andre's relation of whole numbers 1 to 4 with x less than y as ordered pairs.
6. Decide if Samir is right about a table with five rows and three inputs.
7. Use a zoo's feeding chart of enclosures, animals and food as relations.