Answer:
The given relation is not a function
Step-by-step explanation:
- The relation becomes a function if every x-value has only one y-value
- A function is a relation in which each input (x) has only one output (y)
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
