Question

Algebra 2 - function help!! please help asap!

***also, please don't guess.***


Determine whether each function is even, odd, or neither.

Answer 1

For functions, even means f(-x)=f(x) and odd means f(-x)=-f(x)

`√(x^2) - 9`

The only occurrence of x is squared so this is even.

`|x-3|`

This isn't even or odd, it's neither. f(1)=|1-3|=2. f(-1)=|-1-3|=4 for example.

`f(x) = (x)/(x^2-1)`

This one is odd because

`f(-x) = (-x)/((-x)^2-1) = -(x)/(x^2-1) = -f(x)`

`g(x)=x+x^2`

g(1)=1+1=2

g(-1)=-1+1=0

neither odd nor even