Question

Need help with the domain and range

Answer 1

Domain is basically all of x values.

Range is basically all of y values.

That means if you want to find the domain, you can check from the coordinate-x and if you want to find the range, you can check from the coordinate-y.  

As you can see in the graph, there are the colored and non-colored dot. Both present the inequality symbol. If it's a colored circle/dot then it's either ≤ or ≥ but if it is non-colored dot then it's either > or <

From the graph, we can say that the minimum value is at -4 when x = -5

and there is no maximum value considering the x = 1 then y = 7 isn't counted due to being uncolored dot.

As mentioned, Domain is the set of all x values. We check the coordinate-x plane and notice that it begins from x = -5 to x = 1. That means it is -5≤x<1

Remember that the x = 1 one is uncolored so it's either > or < but it is < because 1 has more value than -5. Now we know the domain.

About range, we check coordinate-y plane. It starts from -4 to 7. Therefore, the range is -4≤y<7.

Therefore, Domain is -5≤x<1 and Range is -4≤y<7