The function f(x) is neither even nor odd.
Given
Function; [tex]\rm f(x)=-2x^3+3x[/tex]
Odd and even functions;
The addition of two odd functions produces an odd function.
The subtraction of two even functions is even.
When the function is even, then f(-x) = f(x)
When the function is odd then f(-x) = -f(x)
Therefore,
The function is;
[tex]\neq \rm f(-x)=2(-x)^3+3(-x)\\\\f(-x)=-2x^3-3x\\\\f(-x)=-(2x^3+3x)[/tex]
Hence, the function f(x) is neither even nor odd.
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https://brainly.com/question/1546654
