Question

which of the following defines a function f for which f(-x)=-f(x)
log(x)
sin(x)
e^x
x^2
cos(x)

Answer 1

sin(x)

Answer 2

but why?

Answer 3

f(-x)=-f(x) is the definition of odd function

Answer 4

so all the other ones are even functions?

Answer 5

no!... just when f(-x)=-f(x).. for example
sin(-2)=-sin(2)=0,035
but e^-2 = 0,13 and -e^2=7,4

Answer 6

sorry... i describe odd functions
but for even functions the answer is no! too

Answer 7

got it thanks!!

Answer 8

f(x) = f(-x) for even functions

Answer 9

in that case... cos(x) and x^2 are even functions