Which statement best describes how to determine whether f(x) = x4 – x3 is an even function?

a: determine whether (–x)4 – (–x)3 is equivalent to x4 – x3.

b: determine whether (–x4) – (–x3) is equivalent to x4 + x3.

c: determine whether (–x)4 – (–x)3 is equivalent to –(x4 – x3).

d: determine whether (–x4) – (–x3) is equivalent to –(x4 + x3).

Statement A describes that f(x) is an even function.

Step-by-step explanation:

We are given the function, .

Now, 'A function is an even function if '.

As, the function has to be even,

The expression should be equivalent to

Hence, statement A describes that f(x) is an even function.

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