Respuesta :

CastleRook
A function is odd if and only if y=f(x) is the same as y=-f(-x). Also a function is said to be even if and only if y=f(x) is the same as y=f(-x).
given our function f(x)=4x^5+8x+2
-f(-x)=-(4(-x)^5+8(-x)+2)
       =4x^5+8x-2

also,

f(-x)=4(-x)^5+8(-x)+2
      =-4x^5-8x+2

from the above we see that f(x) ≠ -f(-x) and also f(x) ≠ f(-x). We therefore conclude that the function is neither even not odd

The function f(x) is neither even nor odd function. Then the correct option is A.

What is an odd function?

Odd Function - A true function f(x) is said to be an odd function if the output value of f(-x) is the same as the negative of f(x) for all values of x in the domain of f.

The equation should be stored in an odd function:

f(-x) = -f(x)

What is an even function?

Even Function - A true function f(x) is said to be an even function if the output value of f(-x) is the same as the f(x) for all values of x in the domain of f.

The equation should be stored in an even function:

f(-x) = f(x)

The function is given below.

f(x) = 4x⁵ + 8x + 2

Replace x with the negative x. Then we have

f(-x) = -4x⁵ - 8x + 2

f(-x) ≠ -f(x)

Then the function f(x) is neither even nor odd function.

Then the correct option is A.

More about the odd and even function link is given below.

https://brainly.com/question/9854524

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