Question

How do you determine if `f(x) - 2 cos x` is an even or odd function?

Answer 1

See explanation.

Explanation:

To check if a function is odd or even you have to calculate `f(-x)`.

The function is:

• Even if `f(-x)=f(x)`

• Odd if `f(-x)=-f(x)`

If we check the given function we get:

`f(-x)=-2cos(-x)=-2cosx`

From this calculatiobs we see that `f(-x)=f(x)`, so the given function is even.