## anonymous 4 years ago Determine algebraically whether the function is even, odd, or neither even nor odd. Odd Even Neither

1. anonymous

function is $f(x)=x+\frac{ 12 }{ x }$

2. hartnn

Find f(-x) by replacing x in f(x) by -x. If f(-x) = f(x), then the function is even If f(-x) = -f(x), then the function is odd else neither.

3. anonymous

$f(-x)=-x-\frac{12}{x}=-(x+\frac{12}{x})=-f(x)$

4. anonymous

so is an odd function?

5. anonymous

yes it is

6. anonymous

how about $f(x)=x+x^2$

7. anonymous

thanks

8. anonymous

no problem :)

9. anonymous

neither?

10. anonymous

yes

11. anonymous

yey!! thank you