Given:
[tex]f(x)=-6x^2+5[/tex]If x=-2,
[tex]\begin{gathered} f(-2)=-6(-2)^2+5 \\ f(-2)=-6(4)+5 \\ f(-2)=-24+5 \\ f(-2)=-19 \end{gathered}[/tex]If x=0,
[tex]\begin{gathered} f(0)=-6(0)^2+5 \\ f(0)=0+5 \\ f(0)=5 \end{gathered}[/tex]Range of the function is:
[tex]\mleft\lbrace y|y\in\mathfrak{\Re },y\le5\mright\rbrace[/tex]