Final answer:
Sets A ({(-1,5),(2,8), (0,6),(-2,4)}), B ({(-2, 1), (0, 3), (-1, 1), (1, 2)}), and D ({(-2, 2), (-1, 1), (0, 2), (1, -1)}) represent functions because each input has exactly one output. Sets C and E do not represent functions because they have inputs with multiple outputs.
Step-by-step explanation:
The question asks us to identify which sets of ordered pairs represent a function. A function is defined by the property that each input (first number in the ordered pair) is associated with exactly one output (second number in the ordered pair). Let's evaluate each set:
- A. {(-1,5),(2,8), (0,6),(-2,4)} - This set has unique inputs and corresponds to unique outputs, so this set does represent a function.
- B. {(-2, 1), (0, 3), (-1, 1), (1, 2)} - All inputs are unique and mapped to one output each, so this is a function.
- C. {(0, 0), (2, 3), (0, -1), (-1, -2)} - The input '0' corresponds to two different outputs, '0' and '-1'. Therefore, this set does not represent a function.
- D. {(-2, 2), (-1, 1), (0, 2), (1, -1)} - All inputs are unique and each input has only one output, so this set is a function.
- E. {(2, 4), (1, 8), (-1, -2), (2, -1)} - The input '2' maps to two different outputs: '4' and '-1'. Hence, this set is not a function.
The sets that represent functions are A, B, and D.