Question

does the function have a minimum x - value?
does the function have a maximum x - value?
select a statement to describe the domain:
domain is all real numbers.
domain is a subset of all real numbers.
does the function have a minimum y - value?
(there is also a graph with coordinates and points (0,25) and a green point at (1,5) etc.)

Explanation:

Step1: Analyze the graph's domain

The graph is a piece - wise linear graph. Looking at the x - axis, the graph seems to be defined from \(x = 0\) (or maybe a bit around) up to some positive \(x\) value (like \(x = 3\) or so, but more importantly, it's not all real numbers. The domain of a function is the set of all possible \(x\) - values for which the function is defined. Since the graph is not extending to negative \(x\) values (or at least the visible part and the context suggest a restricted domain), the domain is a subset of all real numbers.

Step2: Choose the correct statement

Among the options "Domain is all real numbers", "Domain is a subset of all real numbers", the correct description for the domain of this function (from the graph) is that the domain is a subset of all real numbers.

Answer:

Domain is a subset of all real numbers