Question

1. Complete the inequality below to describe the

domain of the graph shown.
Domain
2. Complete the inequality below to describe the
range of the graph shown.
Range: <_y <5

Answer 1

1) -4 2) -2

Explanation:

i got it right

Answer 2

Domain is the entire span left to right (on the x-axis) that the graph is on. Since the graph goes from x=-4 and ends at x=4, the domain would be from -4 to 4. The circle at -4 is open, so it does not include the point at -4, just everything leading up to it. So, the domain would be

`- 4 < x \leqslant 4`

The range is similar, it is the entire span that the graph goes up and down (on the y-axis). The graph starts at the bottom at y=-2, and ends at y=5. The bottom point (4,-2) is closed, so the graph includes that point, and the top point (-4,5) is open and doesn't include the point. Therefore, the range would be

`- 2 \leqslant x < 5`