the graph of the step function g(x)= -⌊x⌋ + 3 is shown. what is the domain of g(x)? {x| x is a real number}…

the graph of the step function g(x)= -⌊x⌋ + 3 is shown. what is the domain of g(x)? {x| x is a real number} {x| x is an integer} {x| -2 ≤ x < 5} {x| -1 ≤ x ≤ 5}

the graph of the step function g(x)= -⌊x⌋ + 3 is shown. what is the domain of g(x)? {x| x is a real number} {x| x is an integer} {x| -2 ≤ x < 5} {x| -1 ≤ x ≤ 5}

Answer

Explanation:

Step1: Recall domain definition

The domain of a function is the set of all possible input - values (x - values).

Step2: Analyze step - function graph

For the step - function (g(x)=-\lfloor x\rfloor + 3), looking at the graph, we can see that the function is defined for all real values of (x). There are no breaks or undefined points in the x - direction.

Answer:

({x|x\text{ is a real number}})