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3 years ago

Which of the following is an odd function?

Mathematics

1 answer:

Inga [223]3 years ago

7 0

Answer:

f(x)=-x

Step-by-step explanation:

An odd function is symmetric with respect to origin.

It has the property,

$f( - a) = - f(a)$

The only function that is symmetric about the origin is:

$f(x) = - x$

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

$f( - a) = - - a = a$

Also

$f(a) = - a$

We can see that:

$f( - a) = - f(a) = a$

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