Given the following graph, determine which table corresponds to the following table
We have hundreds of course questions with personalized recommendations + Account 100% premium
Given the following graph, determine which table corresponds to the following table
To determine which table corresponds to the given graph, we'll follow these steps:
Extract coordinates from the graph that clearly intersect grid lines for precision.
Compare these extracted coordinates with the provided tables to find a match.
Ensure consistency across multiple points.
Let's extract some sample points from the graph:
- Observing the graph visually, we can see the following intersection points: (0, 6), (3, 3), and (6, 0). These clearly depict the trend visible in the linear graph.
We will compare these extracted points to the tables:
Choice 1: Points are (-5, 0), (-4, 1), (-3, 2). This does not match our points.
Choice 2: Points are (8, 10), (6, 6), (4, 2). This does not match our points.
Choice 3: Points are (0, 6), (3, 3), (6, 0). This matches exactly with the points from the graph.
Choice 4: Points are (0, 0), (2, 3), (4, 2). This does not match our points.
Therefore, the table that matches the graph is the one in Choice 3.
As a result, the solution is that the correct table is from choice 3, which includes the points (0, 6), (3, 3), and (6, 0).
Determine whether the given graph is a function?
Look for points where the line clearly crosses grid intersections. These give you exact coordinates without guessing. In this graph, (0, 6), (3, 3), and (6, 0) are perfect examples.
Even if you can only find 2-3 exact points, that's enough! Linear relationships are consistent, so matching just a few points confirms the correct table.
No! Check 2-3 clear points from the graph. If they all match one table and don't match the others, you've found your answer.
The slope shows the pattern between x and y values. This graph has slope -1, meaning when x increases by 1, y decreases by 1. Look for this pattern in the tables!
Absolutely! Plot a few points from each table mentally or on paper. Only one table's points will line up with the given graph.
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