Explain how to determine if the following relation is a function.

The given relation is not a function

Step-by-step explanation:

To test the graph is a function or not, draw a vertical line intersects the graph in different positions, if the line cuts the graph in just one point in all positions, then the graph represents a function.

From the given figure

∵ The endpoint of the diameter of the semi-circle are (0, -2), (0, 2)

→ The x-coordinate = 0 has two values of y = -2, 2

∴ At x = 0, y = -2 and 2

∴ Not every x has only one y

∴ The given relation is not a function

If you draw a vertical line intersects the semi-circle in different positions, it will intersect the semi-circle in 2 points, So the graph does not represent a function

a box 3 3/4 feet long or 4+ feet.

step-by-step explanation: