Determine Which Table Corresponds with the Given Graph

Question

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

–3–3–3–2–2–2–1–1–1111222333444555666777888999101010111111–1–1–1111222333444555666000

Video Solution

Solution Steps

00:00 Choose the appropriate table
00:04 Let's find points on the graph to determine the graph equation
00:20 This is the function equation
00:24 We'll deduce the appropriate table from the equation
00:31 And this is the solution to the question

Step-by-Step Solution

To solve this problem, observe that the graph represents a horizontal line at some constant y y -value.

We need to identify which table reflects this characteristic, meaning the y y -values must all be the same for listed x x -values. Let's evaluate the choices:

  • Choice 1: y y -values are 2, 3, 4 for x=1,0,1 x = -1, 0, 1 . This is not constant.
  • Choice 2: y y -values are 4, 4, 4 for x=1,0,1 x = -1, 0, 1 . This represents a constant function where y y is always 4.
  • Choice 3: y y -values are 5, 8, 11 for x=1,0,1 x = -1, 0, 1 . This is not constant.
  • Choice 4: y y -values are 3, 8, 13 for x=1,0,1 x = -1, 0, 1 . This is not constant.

The choice that matches the graph, depicting a horizontal line at a consistent y y -value, is Choice 2. Therefore, the table corresponding to the graph is:

XY-101444

Answer

XY-101444