Functions

If f(x) is a function which is both even and odd, then f(3) - f(2) is equal
to
(a) +1
(b) -1
(c) 0
(d) none

3 Answers

481
Anurag Ghosh ·

f(-x)=f(x)
f(-x)=-f(x)
therefore,f(x)=-f(x)
2f(x)=0
f(x)=0
therefore f(3)-f(2)=0
Is c is the answer?

865
Soumyadeep Basu ·

I guess f(x)=0 is the only function which is both even and odd.

1357
Manish Shankar ·

yes f(x)=0 is the only function

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