A little confusion over x and y values

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The function defined as f(x,y)=0 for x=y=0 explicitly indicates that the function equals zero only when both x and y are simultaneously zero. This means that the function does not evaluate to zero if either x or y is zero independently; it requires both conditions to be met. The clarification provided in the discussion emphasizes the importance of understanding the specific conditions under which the function holds true.

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Suppose a function is defined as:

f(x,y)=0 for x=y=0

Does this mean that the function would be zero when both x and y are xero or when either one of them are zero?
 
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hivesaeed4 said:
Suppose a function is defined as:

f(x,y)=0 for x=y=0

Does this mean that the function would be zero when both x and y are xero or when either one of them are zero?

It means that at the origin (x,y)=(0,0) or as you write x=y=0, that the function f(x,y)=0.
I.e. when BOTH are zero.
 
Thanks.
 

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