Rohan A.

asked • 07/25/17

Why is x^2 + y^2 = 1 an odd function?

Appreciate any help, thanks!

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Mark M. answered • 07/25/17

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Odd function:
f(-x) = -f(x)
Does a circle, the equation given, satisfy?
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Rohan A.

When you do f(-x) it seems that you get two answers- one with f(x) and the other with -f(x). So is a circle both an odd and an even question? Also I apologize, I accidentally hit the negative feedback button but can't figure out how to reverse it...
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07/25/17

Arturo O.

Rohan,
 
Assuming
 
y = f(x) = √(1 - x2),
 
f(-x) = √[1 - (-x)2] = √(1 - x2) = f(x)
 
How did you get f(-x) = -f(x) ?
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07/25/17

Arturo O.

By the way, I cast an up-vote to nullify the mistaken down-vote.
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07/25/17

Michael J.

Technically, a circle is not a function.
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07/25/17

Mark M.

A fundamental distinction! Kudos.
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07/25/17

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