Which function below has the following domain and range?
Domain: {6, 5, 1, 2, 6}
Range: {2, 3, 8}
A. {(2,5), (8, 1), (3, 6), (2, − 6), (3,2)}
B. {(2,3), (5, 2), (1, 8), (6, 3), ( − 6, 2)}
C. {(-6, 6), (2,8)}
D. {(-6,2), ( − 5, 3), (1, 8), (2, 5), (6, 9)}
Answer:
B. {(2,3), (5, 2), (1, 8), (6, 3), ( − 6, 2)}
Explanation:
To have a function with a specific domain and range, each element in the domain must be mapped to exactly one element in the range. Option A maps 6 to both 2 and 3, violating the rule for a function. Option C only has two points in its set, which doesn't match the size of the domain and range given. Option D doesn't map 5 to any element in the range. Option B, however, correctly maps each element in the domain to exactly one element in the range.