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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).

Respuesta :

Since f(x) ≠ f(- x) then f(x) is not an even function. (–x)^4 – (–x)^3 is equivalent to x^4 – x^3.

What is a function?

A function is defined as a relation between the set of inputs having exactly one output each.

We need to find f(x) = x^4 – x^3 is an even function

If 2 functions are even, then

f(x) = f(- x)

f(x) =  [tex]- x^3[/tex]

f(- x) = [tex]- (- x)^3 = + x^3[/tex]

Since f(x) ≠ f(- x) then f(x) is not an even function.

Learn more about function;

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