contestada

Which of the following is an odd function?
O f(x) = x^4+ 5x² + x
ofx)= square root of x
o f(x) = x^2 + x
of(x) = -x

Respuesta :

Answer:

f(x)=-x

Step-by-step explanation:

An odd function is symmetric with respect to origin.

It has the property,

[tex]f( - a) = - f(a)[/tex]

The only function that is symmetric about the origin is:

[tex]f(x) = - x[/tex]

Now let's put x=-a, to get:

[tex]f( - a) = - - a = a[/tex]

Also

[tex]f(a) = - a[/tex]

We can see that:

[tex]f( - a) = - f(a) = a[/tex]

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