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Is x^2+y^2=100 a function

Sagot :

Using the function concept, it is found that [tex]x^2 + y^2 = 100[/tex] is not a function, as for each value of x there is more than one corresponding value of y.

Function:

  • In a function, one value of the input can be related to only one value of the output, that is, for each value of x, there can only be one respective value of y.

In this problem, the relation is:

[tex]x^2 + y^2 = 100[/tex]

For example, considering x = 0, the corresponding values of y are:

[tex]0^2 + y^2 = 100[/tex]

[tex]y = \pm \sqrt{100}[/tex]

[tex]y = \pm 10[/tex]

Hence, it is not a function, as for each value of x there is more than one corresponding value of y.

To learn more about the function concept, you can take a look at

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