Determine the Matching Table for the Graph Representation

Question

Given the following graph, determine which table corresponds to the following table

–3–3–3–2–2–2–1–1–1111222333444555666777888999101010111111121212–1–1–1111222333444555666777000

Video Solution

Solution Steps

00:00 Choose the appropriate table
00:03 We want to find points on the graph and place them in the table
00:08 We'll take a specific X value and find the corresponding Y value according to the graph
00:14 We'll place each point in the table
00:22 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify key points on the graph.

  • Step 2: Cross-reference these points with each option table.

Let's work through each step:
Step 1: The graph appears to pass through points (0,0)(0, 0), (1,2)(1, 2), and (2,1)(2, 1).
Step 2: Reviewing each table:

  • Choice 1: Points (0,0)(0, 0), (1,2)(1, 2), and (2,1)(2, 1) exactly match the data in this table.

  • Choice 2: This table does not match the sequence (0,0)(0, 0), (1,2)(1, 2), (2,1)(2, 1) directly.

  • Choice 3: The ordering or values do not match with (0,0)(0, 0), (1,2)(1, 2), (2,1)(2, 1).

  • Choice 4: The values are swapped and thus do not match the identified points.

Thus, the table in Choice 1 matches the graph, with the points (0,0)(0, 0), (1,2)(1, 2), and (2,1)(2, 1), aligning perfectly with the graph's intersections.

Therefore, the solution is the table under Choice 1.

Answer

XY012021