Answered

Get the answers you need at Westonci.ca, where our expert community is dedicated to providing you with accurate information. Get immediate and reliable answers to your questions from a community of experienced professionals on our platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

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

Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.