Which of the following graphs correctly represents the values from the following table?
y
= 1.
0
1 21
2 -4
(1 point)
To determine which graph correctly represents the values from the table, let's take a look at the given values:
x | y
-----
0 | 1
1 | 21
2 | -4
Now, let's examine each graph option and see which one matches the given values:
Graph A:
The graph rises very steeply from (0, 1) to (1, 21), violating the given table's values. Therefore, Graph A is incorrect.
Graph B:
The graph starts at (0, 1), then decreases to (2, -4), which matches the given table's values. Therefore, Graph B is a potential match.
Graph C:
The graph initially decreases from (0, 1) to (1, -21), then increases again. This does not correspond to the given table's values. Therefore, Graph C is incorrect.
Graph D:
The graph decreases from (0, 1) to (1, 21), which does not match the given table's values. Therefore, Graph D is incorrect.
Based on the analysis, only Graph B matches the values from the table. Therefore, the correct graph is Graph B.
To determine which graph correctly represents the values from the given table, you can plot the points from the table and examine the patterns. Let's go through the process step by step.
First, let's look at the table:
y | x
-----
1 | 0
2 | 1
-4 | 2
The values in the first column represent the y-coordinates, while the values in the second column represent the x-coordinates.
Now, let's plot these points on a graph. The x-coordinates will be plotted on the horizontal axis, while the y-coordinates will be plotted on the vertical axis.
Point 1: (0, 1)
Point 2: (1, 2)
Point 3: (2, -4)
Now, let's look at each of the graphs to see which one matches our plotted points.
Graph A: The plotted points do not align with any of the points from the table.
Graph B: The plotted points align with the given points from the table.
Graph C: The plotted points do not align with any of the points from the table.
Graph D: The plotted points do not align with any of the points from the table.
Based on this analysis, we can conclude that Graph B correctly represents the values from the given table.
Remember, in cases like this, it's important to plot the points and examine the patterns to determine the correct graph representation.