Question

which of the following tables represents the same relationship shown in the graph?

Explanation:

Step1: Identify points on graph

Pick some clear - cut points on the graph. For example, find the x - intercept and y - intercept or other integer - valued points.

Step2: Check points in tables

Check each table to see if the (x,y) pairs match the points on the graph.

Let's assume we find the points (-1,0) on the graph.
We check each table:

• In table A, when x = - 1, y = 0.
• In table B, when x=-1 is not present.
• In table C, when x = - 1 is not present.
• In table D, when x=-1, y = 0.

We need to check more points. Suppose another point on the graph is (3,-6).

• In table A, when x = 3, y=-6.
• In table D, when x = 3 is not present.

Answer:

A. x: -1, y: 0; x: 2, y: -9; x: 3, y: -6