Danielle E.

asked • 09/27/17

Even or odd functions

is (-3 2) (3 2) (0 1) (-2 0) (1 0) an even or odd function Or neither? 

Arturo O.

I do not think there is sufficient information to answer your question.  If all of the points are from the same function, then ±3 both give 0, which is even.  Also, ±0 gives 1, which is even.  But for (-2,0), no corresponding point (2,f(2)) is given, so we do not know f(2), and therefore we cannot compare it to f(-2).  Similarly, no corresponding point (-1,f(-1)) is given to compare to (1,f(1)).  You need to provide a set of points like
 
(x1,f(x1)), (-x1,f(-x1)), (x2,f(x2)), (-x2,f(-x2)), ... etc.
 
and then we can answer your question.
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09/27/17

Arturo O.

I meant ±3 both give 2 ...
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09/27/17

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