Math Problem Statement

Express the relation below as a graph: {(-5, -2), (6, -3), (-3, 5), (8, 8), (0, -1)}

Solution

To graph the relation provided in the image, you need to plot each point from the set of ordered pairs. The points to plot are:

  1. (5,2)(-5, -2)
  2. (6,3)(6, -3)
  3. (3,5)(-3, 5)
  4. (8,8)(8, 8)
  5. (0,1)(0, -1)

Step-by-Step Plotting Guide:

  • Locate each xx-coordinate on the horizontal axis and each yy-coordinate on the vertical axis.
  • Place a point at the intersection for each pair.

Plotted Points:

  1. (5,2)(-5, -2): Move 5 units left on the xx-axis and 2 units down on the yy-axis.
  2. (6,3)(6, -3): Move 6 units right on the xx-axis and 3 units down on the yy-axis.
  3. (3,5)(-3, 5): Move 3 units left on the xx-axis and 5 units up on the yy-axis.
  4. (8,8)(8, 8): Move 8 units right on the xx-axis and 8 units up on the yy-axis.
  5. (0,1)(0, -1): Stay at the origin on the xx-axis and move 1 unit down on the yy-axis.

Once these points are plotted, they represent the relation visually on the graph.

Would you like more details on graphing relations or have any specific questions?

Here are five related questions you might find useful:

  1. What is a relation in terms of ordered pairs?
  2. How do you determine if a relation is a function?
  3. What are common ways to represent relations other than graphing?
  4. How can you identify the domain and range from a set of ordered pairs?
  5. What is the significance of the origin in graphing?

Tip: When plotting points, double-check each coordinate pair to ensure accuracy in positioning on the graph.