Solution:
Given the piecewise function below
[tex]f(x)=\begin{cases}x^2,\text{ if x<0} \\ \sqrt[3]{x},\text{ if x>0}\end{cases}at\text{ x}=-8[/tex]At x = -8
[tex]\begin{gathered} f(x)=x^2 \\ f(-8)=(-8)^2=64 \\ f(-8)=64 \end{gathered}[/tex]Hence, the answer is
[tex]f(-8)=64[/tex]