Respuesta :

apologiabiology
an even function can be reflected across the y axis and map onto itself
example: f(x)=x²
an easy test is
if a function is even, then f(-x)=f(x)

an odd function can be reflected about the origin and map onto itself
example: f(x)=x³
a functio is odd if f(-x)=-f(x)


assuming ya meant [tex]f(x)=\frac{2}{x^2}[/tex]

test the f(-x)=f(x) thing

[tex]f(x)=\frac{2}{x^2}[/tex]
[tex]f(-x)=\frac{2}{(-x)^2}[/tex]
[tex]f(-x)=\frac{2}{((-1)(x))^2}[/tex]
[tex]f(-x)=\frac{2}{(-1)^2(x)^2}[/tex]
[tex]f(-x)=\frac{2}{1x^2}[/tex]
[tex]f(-x)=\frac{2}{x^2}[/tex]

yep, same

it is even

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