Question

look at this table:

x	y
5	-5
15	0
-9	-5
15	11

which mapping diagram represents this relation?
two mapping diagrams with domain and range are shown, but their specific connection details are omitted here as per requirements

Explanation:

Step1: Analyze the table data

From the table, we have the pairs: \((5, -5)\), \((15, 0)\), \((-9, -5)\), \((15, 11)\). So the domain values are \(-9\), \(5\), \(15\) and the range values are \(-5\), \(0\), \(11\).

Step2: Check the mappings

• For \(x = -9\), \(y=-5\) (so a line from \(-9\) to \(-5\)).
• For \(x = 5\), \(y = -5\) (so a line from \(5\) to \(-5\)).
• For \(x = 15\), \(y = 0\) and \(y = 11\) (so lines from \(15\) to \(0\) and \(15\) to \(11\)).

Looking at the two mapping diagrams, the first one has the correct mappings: \(-9\) to \(-5\), \(5\) to \(-5\), \(15\) to \(0\) and \(15\) to \(11\). The second one does not have the correct mapping for \(5\) (it should map to \(-5\) but in the second diagram, \(5\) is not mapped to \(-5\) correctly as per the table).

Answer:

The first mapping diagram (the one on the left) represents the relation.