look at this set of ordered pairs: (10, 9) (17, 9) (10, 1) (20, 11) which mapping diagram represents this…

look at this set of ordered pairs: (10, 9) (17, 9) (10, 1) (20, 11) which mapping diagram represents this relation? two mapping diagrams shown with domain and range boxes, first with 10 connected to 1 and 9, 17 connected to 9 and 11, 20 connected to 11; second with 10 connected to 1 and 9, 17 connected to 9, 20 connected to 11
Answer
Explanation:
Step1: Analyze ordered pairs
The ordered pairs are ((10, 9)), ((17, 9)), ((10, 1)), ((20, 11)). So domain elements: (10), (17), (20); range elements: (9), (1), (11).
- (10) maps to (9) and (1) (two arrows from (10)).
- (17) maps to (9) (one arrow from (17) to (9)).
- (20) maps to (11) (one arrow from (20) to (11)).
Step2: Check mapping diagrams
- First diagram: (17) maps to (11) (incorrect, should map to (9)), (20) maps to (9) (incorrect, should map to (11)).
- Second diagram: (10) maps to (1) and (9), (17) maps to (9), (20) maps to (11) (matches the ordered pairs).
Answer:
The second mapping diagram (the one on the right)