Question

algebra 1 〉 m.1 relations: convert between tables, graphs, mappings, and lists of points rbg
look at this set of ordered pairs:
(16, 3)
(5, 17)
(5, 3)
(0, 2)
which mapping diagram represents this relation?
two mapping diagrams are shown, each with domain (0,5,16) and range (2,3,17) with different arrows between them

Explanation:

Step1: Identify Domain and Range

The domain is the set of all x - values from the ordered pairs: {0, 5, 16}. The range is the set of all y - values: {2, 3, 17}.

Step2: Analyze Mappings for Each Domain Value

• For \(x = 0\): The ordered pair is \((0,2)\), so 0 maps to 2.
• For \(x = 5\): The ordered pairs are \((5,17)\) and \((5,3)\), so 5 maps to 17 and 3.
• For \(x = 16\): The ordered pair is \((16,3)\), so 16 maps to 3.

Now, check the mapping diagrams. The first mapping diagram has 0→2, 5→3 and 5→17, 16→3, which matches our analysis. The second diagram has 16→17 which is incorrect (since \(16\) should map to \(3\)).

Answer:

The first mapping diagram (the one on the left)