Question

Please explain, thanks.

Answer 1

Answer:

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

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

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 $(-\-\infty , +\infty)$

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 $[-2,\infty)$