The domain of a quadratic function is the set of x values for which the function is defined
The domain of a quadratic function is all real numbers
The range of a quadratic function is the set of all the output values
The range of a quadratic function is determined the vertex of the parabola.
If the parabola has a minimum value then the range will be all outputs will be greater than that minimum value
If the parabola has a maximum value then the range will be all outputs will be less than the maximum value.