Question

The graph of the step function g(x) = -[x] + 3 is shown.y05-5-4-3-2-140342+1+I-2+-3+-4+-5-& w1 2 35 xWhat is the domain of g(x)?O x x is a real number}Ox x is an integer}O {x1-2 ≤x<5}O {x-1 ≤ x ≤ 5}

Answer 1

The domain of a function is the set of all values that the independent variable can take. In this case, there are no restrictions over the values that x can take for the expression to be well defined (two common restrictions are non-negative square roots and nonzero denominators).

Therefore, the domain of g(x) is the set of all real numbers.

The correct choice is the first option: {x | x is a real number}