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maria [59]
3 years ago
11

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

Mathematics
1 answer:
solong [7]3 years ago
7 0

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)

<em>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.</em>

<em />

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

<em>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 </em>

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