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

Answer:

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

Even

Step-by-step 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