Question

Identify if the foxes are either or odd function. f(x)= x^3 + 2x and g(x) = 2x^2 - 3A. Odd,oddB. Even,oddC. Odd,evenD. Even,even

Answer 1

`\begin{gathered} f(x)=x^3+2x \\ \\ f(-x)=(-x)^3+2(-x)=-x^3-2x=-(x^3+2x)=-f(x) \\ \\ f(-x)=-f(x) \\ \\ Odd \end{gathered}`

and

`\begin{gathered} g(x)=2x^2-3 \\ \\ g(-x)=2(-x)^2-3=2x^2-3=g(x) \\ \\ g(-x)=g(x) \\ \\ Even \end{gathered}`

Therefore, the answer is

Odd, Even

Option C