Respuesta :
Answer:
The first option
Step-by-step explanation:
If 2 functions are even, then
f(x) = f(- x)
f(x) = [tex]x^{4}[/tex] - x³
f(- x) = [tex](-x)^{4}[/tex] - (- x)³ = [tex]x^{4}[/tex] + x³
Since f(x) ≠ f(- x) then f(x) is not an even function
Determine whether (–x)4 – (–x)3 is equivalent to x4 – x3 - this statement is describing best how to determine whether f(x) = x4 – x3 is an even function or not.
How the statement is describing best to determine whether f(x) = x4 – x3 is an even function or not:
In mathematics, even functions is function which satisfy particular symmetry relations, with respect to taking additive inverses.
If 2 functions are even, then
f(x) = f(- x)
f(x) = x4 - x³
f(- x) = x4 - (- x)³ = + x³
Since f(x) ≠ f(- x) then f(x) is not an even function.
The correct answer is option A.
Learn more about even function, refer:
https://brainly.com/question/27848067
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