Search 72,363 tutors
FIND TUTORS
Ask a question
0 0

find total number of possible odd functions f:A---->A where A={ -2,-1,0,1,2}

Tutors, please sign in to answer this question.

1 Answer

This isn't my area, but since there aren't any other answers yet ...
 
It seems you want to count the functions where -(f(x)) = f(-x) for each x. So you have 5 choices for f(-2)--it could = -2, -1, 0, 1, or 2, but that choice also determines f(2) since it has to be the opposite of f(-2). Does f(0) have more than one choice? Can you go from there to find the answer?
 
Not sure I've got the right idea but perhaps it will help.

Woodbridge functions tutors