ATAR Notes: Forum
HSC Stuff => HSC Maths Stuff => HSC Subjects + Help => HSC Mathematics Advanced => Topic started by: Jade Davis on April 24, 2020, 03:38:24 pm
-
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!
-
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.)
-
Awesome that makes sense!! Thank you so much :)
-
Thank you so much!
[size=8pt]text to speech[/size]
[size=1pt]mortgage calculator[/size]