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Ratling [72]
3 years ago
5

Determine algebraically whether the function is even, odd, or neither even nor odd. (2 points)

Mathematics
2 answers:
pentagon [3]3 years ago
5 0

Answer:

The function f(x) is neither even nor odd.

Step-by-step explanation:

The given function is

f(x) = -3x^4 - 2x - 5

A function is called an even function if

f(-x) = f(x)

A function is called an odd function if

f(-x) = -f(x)

Substitute x=-x in the given function, to check whether the function is even, odd, or neither even nor odd.

f(-x) = -3(-x)^4 - 2(-x) - 5

f(-x) = -3(x)^4 + 2(x) - 5

f(-x) \neq f(x)

f(-x) \neq -f(x)

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

ahrayia [7]3 years ago
3 0

Answer:

f(x) is neither odd nor even function

Step-by-step explanation:

we are given

f(x)=-3x^4-2x-5

Firstly, we will find f(-x)

we can replace x as -x

we get

f(-x)=-3(-x)^4-2(-x)-5

now, we can simplify it

f(-x)=-3x^4+2x-5

we can see that

it is neither equal to f(x) nor -f(x)

we know that

For even:

f(-x)=f(x)

For odd:

f(-x)=-f(x)

so, f(x) is neither odd nor even function

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