So the first graph is Radical/Irrational Graph and the second is Parabola/Quadratic Graph.
You can find the domain by looking at the x-axis and for the range, look at the y-axis. That means all of x-axis is the domain and all of y-axis is the range.
From the first graph, the domain is from -2 to +infinite. But because there's a colored dot, it's either ≥ or ≤.
But because -2 is less than + infinite, we use ≤ instead. Thus, x ≥ -2
Remember that x-values can't be equal to infinite. So we use < instead since there's no x-values that are equal to ∞.
Or we can write in interval notation as [-2,+∞) for symbol "[ or ]" is equal to ≤ or ≥ and ") or (" is equal to > or <
Again, the domain for the first graph is x ≥ -2 or x ∈ [-2, +∞)
And the range, look at the y-axis. Because we can substitute x from -2 to less than ∞, that means the range is from -1 because when x = -2 then x = -1 to + infinite.
Therefore, the range is y ≥ -1 or y ∈ [-1, +∞)
Now for the second graph. Look at the x-axis to find the domain. We notice that the colored dot is at x = -3 and the one with white dot is at x =2. The one without the color or white dot is > or < while the colored one is ≥ or ≤.
So the domain is -3 ≤ x < 2 or x ∈ [-3, 2)
For range, look at the y-axis. Notice that the colored dot is at y = -5 and the maximum point is at y =4. The y =4 is still in the domain so the range still applies to the maximum point.
Therefore the range is -5 ≤ y ≤ 4 or y ∈ [-5, 4]