Which graph shows a set of ordered pairs that represent a function?
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Answer:
Graph C is the answer.
Step-by-step explanation:
To solve this question we should know that a set of ordered pairs represent a function when their x values do not have two values of y.
Means if we have a set of pairs like (1, 2), (1, 3), (2, 4) then x values of the pairs are 1, 1, 2 and y values are 2, 3, 4.
Here for x = 1 we are getting two values of y = 2, 3 then these pairs do not define a function.
Now we analyze the graphs.
For graph A.
At x = 2 we are getting two values of y = -1, -3. Therefore graph is not for a function.
For graph B.
At x = 4 we are getting y = 4, -3. Therefore graph is not of a function.
For graph C.
For every value of x we are getting different value of y. Therefore this graph represents a function.
For Graph D.
For x = -2 we get y = 1, -1 therefore this graph doesn't represents a function.