Question

Given a function $f\left(x\right)$ such that $f\left(x\right)=x^3$, the correct expression is:

• A. $f(-x)=f\left(x\right)$
• B. $f(-x)=-f(-x)$
• C. $f(-x)=-f\left(x\right)$
• D. $f\left(x\right)=-f\left(x\right)$
• E. $f\left(x\right)>f(-x)$

Answer 1

The correct option is C $f(-x)=-f\left(x\right)$

Given, $f\left(x\right)=x^3$
$\Rightarrow f(-x)=(-x{)}^3=-x^3=-f(x)$

$\Rightarrow f(-x)=-f\left(x\right)$