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How do you determine whether a function is odd, even, or neither: #f(x)= (2x)/absx #?

1 Answer

Nov 30, 2016

#f(x) = (2x)/|x|# is and odd function.

Explanation:

If #f(-x) = -f(x)# then #f(x)# is odd.

If #f(-x)=f(x)# then #f(x)# is even.

In this case:

#f(-x) = (2(-x))/|-x| =-(2x)/|x| = -f(x)#

So the function is odd.

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