Question

Which answer describes the function f(x) = x^6−x^4 ?

neither

even

odd

Answer 1

to determine if it is even replace x with -x and see if the answer is identical.

In this case, this function is even

Answer 2

The function
`f(x)=x^6-x^4` is:

Even

Explanation:

A function f(x) is even if:

f(-x)= f(x)

A function f(x) is odd if:

f(-x)= -f(x)

Here, we are given a function f(x) as:

`f(x)=x^6-x^4`

`f(-x)=(-x)^6-(-x)^4\\\\ =x^6-x^4\\\\=f(x)`

f(-x)=f(x)

Hence, the function
`f(x)=x^6-x^4` is:

Even