Step 1 :The function given is \(f(x)=x^{2}-x+6\).
Step 2 :To find \(f(8)\), substitute \(x=8\) into the function to get \(f(8)=8^{2}-8+6=62\).
Step 3 :To find \(f(-5)\), substitute \(x=-5\) into the function to get \(f(-5)=(-5)^{2}-(-5)+6=36\).
Step 4 :To find \(f(0)\), substitute \(x=0\) into the function to get \(f(0)=0^{2}-0+6=6\).
Step 5 :So, the final answers are \(f(8)=\boxed{62}\), \(f(-5)=\boxed{36}\), and \(f(0)=\boxed{6}\).