Which statement best describes how to determine whether f(x) = x4 – x3 is an even function? determine whether (–x)4 – (–x)3 is equivalent to x4 – x3. determine whether (–x4) – (–x3) is equivalent to x4 + x3. determine whether (–x)4 – (–x)3 is equivalent to –(x4 – x3). determine whether (–x4) – (–x3) is equivalent to –(x4 + x3).
Statement A describes that f(x) is an even function.
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.
basically f(x) is even if f(-x)=f(x)
easy way to test is to see if f(-x)=f(x)
nope, not even
answer is A
So its option A
sub EVERY x for -x
if you get the same function, the function is even
if you get the same function, but negative, the function is odd
if niehter, then it is neither even nor odd
so only the -x should be in parenthases and it should be equivilent to the original function
A is the answer