Question

What are the domain and range of the function x^2-2x^2-4?

Answer 1

${x}^{2} - 2 {x}^{2} - 4 \\ - {x}^{2} - 4$

The Quadratic Function has the domain as the set of all real numbers.

For the range, start from minimum value to maximum value.

But because the parabola is downward as a < 0. Thus, there are no minimum value but the maximum value instead.

Therefore the range is y <= -4