Question

Please explain, thanks.

Answer 1

Domain:
`(-\infty , +\infty)`

Range:
`[-2,+\infty)`

Explanation:

Domain And Range Of A Function

Let y=f(x) a real function. We call the domain of f to every possible value x can take that produces one real value for y. The range of f, is the set of all those values y can take when we take every possible element from the domain.

In the image, we can see the graph of a function who takes values of x without restriction, if x was greater than the maximum value shown in the graph, f(x) will take greater values also. The same happens if x was smaller than the minimum value shown in the graph. We can conclude the domain of x is
`(-\-\infty , +\infty)`

We can also see the values of y come from
`+\infty` , then reach a minimum value of -2, and then increases without limits to
`+\infty`. This means the range is
`[-2,\infty)`