Determine the Matching Table for the Graph Representation

Graph-Table Matching with Coordinate Points

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

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

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
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 written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

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

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

2

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.

3

Final Answer

XY012021

Key Points to Remember

Essential concepts to master this topic
  • Point Identification: Read coordinates where line intersects grid lines clearly
  • Technique: Check points (0,0), (1,2), (2,1) against each table systematically
  • Verification: Every identified point must appear in correct table position ✓

Common Mistakes

Avoid these frequent errors
  • Misreading coordinate values from graph
    Don't guess coordinate positions or read axes incorrectly = wrong table match! Small errors in reading (0,0) as (1,0) or (1,2) as (2,1) lead to choosing completely wrong tables. Always trace vertical and horizontal lines carefully to exact intersection points.

Practice Quiz

Test your knowledge with interactive questions

Determine whether the given graph is a function?

–7–7–7–6–6–6–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666777–4–4–4–3–3–3–2–2–2–1–1–1111222333000

FAQ

Everything you need to know about this question

How do I read coordinates accurately from a graph?

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Start at the point, then trace straight down to the x-axis for the x-value, and straight across to the y-axis for the y-value. Write as (x,y)(x, y) ordered pairs.

What if the line doesn't pass through exact grid points?

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Look for points where the line clearly intersects grid lines. In this problem, the line passes through exact points like (0,0)(0,0), (1,2)(1,2), and (2,1)(2,1).

Do I need to check every point on the line?

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No! Just check the specific points given in the tables. Focus on the x-values shown in each table and verify their corresponding y-values match the graph.

What if multiple tables seem close to correct?

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Check every single point carefully. Even one wrong coordinate means that table doesn't match. The correct table will have all points exactly matching the graph.

Should I start checking from x = 0 or another point?

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Start with (0,0)(0,0) since it's usually easiest to identify at the origin. Then work through the other x-values: x = 1, x = 2, etc.

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