Answer:
Domain: [tex](-\infty , +\infty)[/tex]
Range: [tex][-2,+\infty)[/tex]
Step-by-step 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 [tex](-\-\infty , +\infty)[/tex]
We can also see the values of y come from [tex]+\infty[/tex] , then reach a minimum value of -2, and then increases without limits to [tex]+\infty[/tex]. This means the range is [tex][-2,\infty)[/tex]
