Graph-to-Table Matching: Analyzing Two-Segment Linear Graph in Coordinate Plane

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

–6–6–6–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666777888–2–2–2–1–1–1111222333444555666777000

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Choose the appropriate table for the graph
00:03 We want to find points on the graph, and place them in the table
00:06 We'll take a specific X value and find the corresponding Y value according to the graph
00:12 We'll place each point in the table
00:17 And that's 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

–6–6–6–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666777888–2–2–2–1–1–1111222333444555666777000

2

Step-by-step solution

To find the table corresponding to the graph, let's proceed step-by-step:

  • Step 1: Identify points from the graph.
  • Step 2: Deduce the coordinates by examining the graph.
  • Step 3: Compare these coordinates to those listed in the choices.

Step 1: Observing the graph, it passes through the following points: (−3,1) (-3,1) , (0,1) (0,1) , and (3,0) (3,0) .

Step 2: We deduce these points by checking intersections where the line crosses a visible grid point.

Step 3: Now, compare these points to the tables given in the options:

  • Choice 1: Matches (−3,1) (-3,1) , (0,1) (0,1) , (3,0) (3,0) .
  • Choice 2, 3, and 4: Do not match these points based on given coordinates.

Therefore, the table that matches the graph's data points is Choice 1.

The correct table according to the graph is: X−303Y110\begin{array}{|c|c|c|}\hline X & -3 & 0 & 3 \\ \hline Y & 1 & 1 & 0 \\ \hline \end{array}

3

Final Answer

XY-303110

Practice Quiz

Test your knowledge with interactive questions

Is the given graph 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

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Functions questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations

Representations of Functions

Graph-Table Correspondence: Determine the Matching Table from Given Graph
Click to solve
Identify the Table that Corresponds to the Given Graph: Figure Out the Match!
Click to solve