Question

algebra 1 〉 m.1 relations: convert between tables, graphs, mappings, and lists of points rbg
look at this set of ordered pairs:
(0, 19)
(1, 19)
(5, 8)
(1, 13)
which mapping diagram represents this relation?
domain range domain range
0 8 0 8
1 13 1 13
5 19 5 19

Explanation:

Step1: Identify Domain and Range Values

The ordered pairs are \((0, 19)\), \((1, 19)\), \((5, 8)\), \((1, 13)\). So domain values (first elements) are \(0\), \(1\), \(5\); range values (second elements) are \(19\), \(8\), \(13\).

Step2: Analyze Mappings for Each Domain

• For \(0\): From \((0, 19)\), it maps to \(19\).
• For \(1\): From \((1, 19)\) and \((1, 13)\), it maps to \(19\) and \(13\).
• For \(5\): From \((5, 8)\), it maps to \(8\).

Now check the diagrams:

• Left Diagram: \(0\) maps to \(8\) (wrong, should map to \(19\)), so eliminate.
• Right Diagram: \(0\) maps to \(19\), \(1\) maps to \(19\) and \(13\), \(5\) maps to \(8\) – matches the mappings.

Answer:

The Right Diagram (the mapping diagram on the right side)