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16 votes
Which equation represents a functional relationship?..

Y=6

X=6
Plz justify your answer~

User Tgoossens
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1 Answer

14 votes

Answer:

defines y as a function of x, because for every x value there is no more than a y value. (In fact for every x there is exactly one y value). We can forgive a function if some values of x do not have a y, but if there is more than one y for even one value of x, then the relation is not a function.

x=y2+6 does not define y as a function of x, because some value(s) of x have more than one y.

In general,

x=y2-6--->x+6=y2

So, all the values of x larger than -6 would have two y values.

For example, x=10 would be paired with y=4 and y=-4.

A function cannot assign more than one y to any x value.

Explanation:

i am not sure if this is what you mean tell me if it is not i will try one more time

User Albertodebortoli
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