Find the range of the function:

The function is a classic example from algebra, representing a parabola that opens upwards. Since squaring any real number (positive or negative) always results in a non-negative value, the output of this function is always or greater. Therefore, the range of the function is all non-negative real numbers, expressed as .

For a real-world application, think of this function in terms of physics: if you were measuring the height of a ball tossed in the air, its height at any point in time can be modeled by a similar quadratic equation. Here, the height (analogous to ) is always non-negative, illustrating the same range constraint — an invaluable concept when ensuring safety regulations in various activities!