(image included! ) the graph of g(x) is shown.
which statements describe the domain and range of g(x)? check all that apply.
-the function g(x) is defined for all real numbers x.
-the maximum value of the range is 4.
-the maximum value of the domain is 3.
-the range of g(x) is {y| –1 < y ≤ 4}.
-the domain of g(x) is {x| –4 < x ≤ 3}.

First, it is important to understand that the domain is all possible x values and the range is all possible y values. So for this specific graph, the domain is -4≤x≤-1 and 0≤x<3) and the range is -1<y≤4. The second and fourth choices are correct.

First, we know the graph is not defined for all values of x because the domain only refers to certain x values. 

The second choice is true because the range extends from -1 to 4, so 4 is the largest possible value.

The third statement is incorrect because even though our domain extends from -4 to 3, 3 is noninclusive (open circle).

Choice four is correct: that is the same as the range listed above.

The last choice is incorrect because no x values between -1 and 0 are defined.

Hope this helps.