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Lisa [10]
3 years ago
8

Is the following relation a function? (1 point) Graph of x equals y squared, which results in a horizontal parabola centered on

the x axis, going through the origin, and opening to the right Yes No

Mathematics
2 answers:
vlada-n [284]3 years ago
4 0

Answer:

No, the given relation is not a function.

Step-by-step explanation:

A relation is a function if there exist a unique output for each input.

The given relation is

x=y^2

It is a horizontal parabola centered on the x axis, going through the origin, and opening to the right.

Taking square root on both sides.

\pm \sqrt{x}=y

Here for each value of x, there exist more than one value of y. Therefore the given relation is not a function.

If a vertical line intersect the parabola more than once, then the relation is not a function.

From the below graph it is clear that the graph dose not pass the vertical line test. So, the given relation is not a function.

Savatey [412]3 years ago
3 0

The equation is not a function because in order for something to be a function you can't have 2 values of y for every x.

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