Correct. In a quadratic function, there are no variables in a denominator or radical expressions, so nothing will restrict the domain. Therefore, the domain is all real numbers. Because the coefficient of $\displaystyle{{x}}^{{2}}\usepackage{cmbright}\Huge\$ is negative, the graph of the function will open downward. Graph the function to find the vertex, $\displaystyle{\left(-{3},{12}\right)}\usepackage{cmbright}\Huge\$ . The y-value is the maximum and will determine the range. The range is $\displaystyle{f{{\left({x}\right)}}}\le{12}\usepackage{cmbright}\Huge\$ .