Firstly, substitute the given value of x.
[tex]f(x) = ( - x)^{3} \\ f( - 2) = ( - ( - 2))^{3} [/tex]
Next, distribute the negative sign. Like signs make a positive value.
[tex]( - ( - 2)) = 2[/tex]
Lastly, solve the exponent.
[tex]2 ^{3} = 8[/tex]
Therefore:
[tex]f( - 2) = 8[/tex]