Question

Determine if Odd, Even, or Neither:
f(x)=|x|-1
f(x) =|x-2|

Answer 1

do you know the definition of odd/even functions?

Answer 2

it's even if f(x)=f(-x) right?

Answer 3

even: \(\large f(x)=f(-x) \)
odd: \(\large -f(x)=f(-x) \)

Answer 4

uh... yes....

Answer 5

also, if it is even then you will have symmetry with respect to the y axis

Answer 6

if it is odd, you will have symmetry with respect to the origin

Answer 7

okay so... like i got f(x)=x^2-2x.
and i know that's even because it's also x^2- 2x when f(-x)

when i do f(x) = |x|-1 i get f(-x) = |-x|-1
so.... ?

Answer 8

great examples!!!