Which graph is generated by this table of values?

Question image

Understand the Problem

The question is asking which graph corresponds to a given table of x and y values, specifically looking for the graph that represents the coordinates derived from those values.

Answer

The answer is the graph containing the points $(-5, 2)$, $(-3, 4)$, $(-1, 1)$, and $(4, 0)$.
Answer for screen readers

The graph that corresponds to the table of values is the one that contains the points $(-5, 2)$, $(-3, 4)$, $(-1, 1)$, and $(4, 0)$.

Steps to Solve

  1. Identify the data points from the table

From the given table, extract the pairs of $(x, y)$ values:

  • $(-5, 2)$
  • $(-3, 4)$
  • $(-1, 1)$
  • $(4, 0)$
  1. Plot each point on the coordinate graph

Begin plotting each point on the graph:

  • For $(-5, 2)$, go left to -5 on the x-axis and up to 2 on the y-axis.
  • For $(-3, 4)$, go left to -3 on the x-axis and up to 4 on the y-axis.
  • For $(-1, 1)$, go left to -1 on the x-axis and up to 1 on the y-axis.
  • For $(4, 0)$, go right to 4 on the x-axis and stay on the x-axis for y value of 0.
  1. Connect the points or match to given graphs

Once all points are plotted, check which graph corresponds to the plotted points:

  • Look for a graph that contains the exact points $(-5, 2)$, $(-3, 4)$, $(-1, 1)$, and $(4, 0)$.

The graph that corresponds to the table of values is the one that contains the points $(-5, 2)$, $(-3, 4)$, $(-1, 1)$, and $(4, 0)$.

More Information

The plotted points form a specific arrangement in the Cartesian plane, and identifying the correct graph requires checking that all these points appear correctly on the provided graph options.

Tips

  • Misreading or misplotting the coordinates can lead to selecting the wrong graph.
  • Skipping to connect the points might cause confusion in visualizing the relationship of the points.
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