Respuesta :

Answer: [tex]\{-10, 0 \}[/tex]

Step-by-step explanation:

The range is the set of output values for the domain (the set of inputs).

  • When x=-5, y=[tex]-(-5)^{2}-3(-5)=-10[/tex].
  • When x=0, [tex]y=-0^{2}-3(0)=0[/tex].
  • When x=2, [tex]y=-2^{2}-3(2)=-10[/tex]

So, the range is [tex]\boxed{\{-10, 0 \}}[/tex]