Question

Determine algebraically whether the function is even, odd, or neither even nor odd. 9/x^2

Answer 1

do u know when a function is even and when it will be odd?

Answer 2

If I see the graph I might

Answer 3

yeah it can be done graphiclly and also algebrically
let a function is f(x) then it will be even when
\[f(x)=f(-x)\]
and odd when
\[f(-x)=-f(x)\]
so in ur problem
\[f(x)=\frac{ 9 }{ x^2 }\]
now try to evaluate f(-x)

Answer 4

I neither even nor odd

Answer 5

how ????????
u have
\[f(x)=\frac{ 9 }{ x^2 }\]
so \[f(-x)=\frac{ 9 }{ (-x)^2 }=\frac{ 9 }{x^2 }\]
so \[f(x)=f(-x)\]
now what do u think even or odd?

Answer 6

The function is even I think

Answer 7

yes its even