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This table represents a function.

Plot points to represent the function as a graph.

Keyboard Instructions
Initial graph state
The horizontal axis goes from -5.4 to 10.8 with ticks spaced every 1 unit(s).
The vertical axis goes from -5.4 to 10.8 with ticks spaced every 1 unit(s).
x y
−4 10
0 8
4 6
10 3

1 answer

To plot the points representing the function from the given table, you can follow these instructions on a coordinate plane:

Points to Plot

The points provided in the table are:

  1. (-4, 10)
  2. (0, 8)
  3. (4, 6)
  4. (10, 3)

Graphing Steps

  1. Set Up the Axes:

    • Draw a horizontal axis (x-axis) and a vertical axis (y-axis).
    • Label the x-axis from -5.4 to 10.8, marking tick marks at every 1 unit. You should have ticks at -5, -4, -3, ..., 0, 1, 2, ..., 10.
    • Label the y-axis from -5.4 to 10.8, marking tick marks the same way as the x-axis.

  2. Plot Each Point:

    • For point (-4, 10):
      • Move 4 units left on the x-axis to -4.
      • Move 10 units up to reach the y-coordinate of 10. Place a point there.
    • For point (0, 8):
      • Stay at the origin (0 on the x-axis).
      • Move 8 units up to reach the y-coordinate of 8. Place a point there.
    • For point (4, 6):
      • Move 4 units right on the x-axis to 4.
      • Move 6 units up to reach the y-coordinate of 6. Place a point there.
    • For point (10, 3):
      • Move 10 units right on the x-axis to 10.
      • Move 3 units up to reach the y-coordinate of 3. Place a point there.

  3. Label the Points:

    • Optionally, label each point with its coordinates for clarity.

Final Display

After plotting all four points, you will have a visual representation of the function. You can choose to connect the points with straight lines if you want to represent it as a line graph, but that depends on whether the function is continuous or discrete.

Summary of Plotted Points

  • (-4, 10)
  • (0, 8)
  • (4, 6)
  • (10, 3)

Use these steps to create the graph. If you have graphing software or tools, you can input these points directly into the software for a more precise graphical representation.