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The set of ordered pairs in the graph below can be described as which of the following? A. a relation B. a function C. a relation and function D. neither a relation nor function​

The set of ordered pairs in the graph below can be described as which of the following-example-1

1 Answer

4 votes

Answer:

a relation and function ⇒ answer C

Explanation:

* Lets revise the relation and the function

- The relation is between the x-values and y-values of ordered pairs.

- The set of all values of x is called the domain, and the set of all values

of y is called the range

- The function is a special type of relation where every x has a unique y

- Every function is a relation but not every relation is a function

* Lets solve the problem

∵ The graph is a parabola

∵ The parabola is a function because every x-coordinates of the

points on the parabola has only one y-coordinate

- Ex: some ordered pairs are (-5 , -5) , (-2 , 5) , (0 , 7) , (2 , 5) , (5 , -5)

∵ Every x-coordinate has only one y-coordinate

∴ The graph represents a function

∵ Every function is a relation

∴ The set of ordered pairs in the graph below can be described as

a relation and function

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