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If the rule of a relation is y is found by squaring x and then adding 3," is the relation a function?

1 Answer

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Answer:
Yes, it is a function

Step-by-step explanation:
The relation is obtained by squaring the value of x and then adding 3.
This means that the equation would be:
y = x² + 3

Now, taking a look at this equation, we would find that each value of x would have only one value of y.

Since a function is defined as a relation in which each x-value has only one y-value, therefore, the given equation represents a function.

This can be illustrated more by graphing the given relation (graph is shown in the attached image).
You will find a parabola is formed where each x value has only one corresponding y-value.

Hope this helps :)
If the rule of a relation is y is found by squaring x and then adding 3," is-example-1
User Anup Ash
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