determine algebraically wether or not the function f(x)=-x^3-2x^2+5 is even or odd and justify your answer

Question

A the fumction is odd because f(-x)=-f(x)
Bthe function is odd becauase f(-x)=f(x)
Cthe function is even because f(-x0=-f(x)
D the function is even because f(-x)=f(x)
E the function is neither even nor odd because
F(-x)=f(x) and (-x)=-f(x)

Answer 1

The function f(x) = -x^3 - 2x^2 + 5 is odd because f(-x) = -(-x)^3 - 2(-x)^2 + 5 = -x^3 - 2x^2 + 5 = -f(x).

Therefore, the correct answer is A) the function is odd because f(-x) = -f(x).