August 04, 2020, 03:10:15 pm

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Circular Function
« on: April 24, 2020, 03:38:24 pm »
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Hi there
I just have a quick question - I can't seem to find a concise answer but is the normal circular 'function' (x^2 + y^2 = r^2) odd, even or neither? Is it even a function because it doesn't pass the line test? Thus is it neither because it's not a function? Or does moving the radius make it odd because it changes around origin?

Thank you!
« Last Edit: April 24, 2020, 11:15:39 pm by Jade Davis »

RuiAce

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Re: Circular Function
« Reply #1 on: April 25, 2020, 02:50:00 pm »
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In theory, because the circle isn't a function, yes it would neither be an odd function nor an even function.

(The circle $x^2+y^2=r^2$ is sometimes referred to as an odd relation and an even relation. It does satisfy the 'odd' requirement of rotational symmetry about the origin by 180 degrees. It also satisfies the 'even' function requirement of symmetry about the y-axis. But in any case, calling it an odd or even function would be incorrect, because it has to be a function to begin with first.)

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Re: Circular Function
« Reply #2 on: April 26, 2020, 05:55:47 pm »
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Awesome that makes sense!! Thank you so much

KimberlyLandy

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Re: Circular Function
« Reply #3 on: July 02, 2020, 11:04:22 pm »
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« Last Edit: July 03, 2020, 02:26:11 pm by KimberlyLandy »