Determine the range of values and the range of definitions of the function: y = -x ^ 2-22.

We have the function y = -x ^ 2 – 22.

Let us define its domain of definition and range of values.

Note that the function is quadratic, the graph is a parabola, the branches of which are directed downward. The parabola is continuous, which means that the set of admissible values of a variable is all numbers.

The range of values – all allowable values of the function – will be determined analytically.

The value of the function is determined from the difference between negative and positive numbers, the largest value being the most negative number.

Accordingly, the range is all numbers less than or equal to -22.