Question

a. complete the table of values that represents the relation from the graph.
(table with x and y values: x: -3, -2, 0, 1, 1, 3; y: 1, 0, 2, 1, -2, 0)
b. write the set of ordered pairs that represents the relation shown in the graph.
c. complete the mapping diagram that represents the relation shown in the graph.
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Explanation:

Part b Solution:

Step1: Identify x and y values

From the table, the \( x \)-values are \(-3, -2, 0, 1, 1, 3\) and corresponding \( y \)-values are \(1, 0, 2, 1, -2, 0\).

Step2: Form ordered pairs

An ordered pair is \((x, y)\). So pair each \( x \) with its \( y \): \((-3, 1)\), \((-2, 0)\), \((0, 2)\), \((1, 1)\), \((1, -2)\), \((3, 0)\).

Answer:

\(\{(-3, 1), (-2, 0), (0, 2), (1, 1), (1, -2), (3, 0)\}\)

Note for Part a and c:

For part a, the table seems to have some handwritten entries, but to complete it, we use the ordered pairs (matching \( x \) to \( y \) as above). For part c, a mapping diagram has two columns: domain (x - values: \(-3, -2, 0, 1, 3\) (note \( 1 \) is repeated but in domain we list unique or all? Usually all inputs) and range (y - values: \(1, 0, 2, -2\)). Then draw arrows from each \( x \) to its \( y \): \(-3 \to 1\), \(-2 \to 0\), \(0 \to 2\), \(1 \to 1\), \(1 \to -2\), \(3 \to 0\). Since the graph isn't fully visible, we rely on the table's \( x - y \) pairs. If you need more details on a or c, share the graph or clarify the table's original state (the handwritten parts might be attempts, but the ordered pairs from the table's structure (rows: x and y) give the relation.