Question

Determine algebraically whether the function is even, odd, or neither even nor odd.


Odd

Even

Neither

Answer 1

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

Answer 2

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.

Answer 3

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

Answer 4

so is an odd function?

Answer 5

yes it is

Answer 6

how about \[f(x)=x+x^2\]

Answer 7

thanks

Answer 8

no problem :)

Answer 9

neither?

Answer 10

yes

Answer 11

yey!! thank you