The domain is all the x-values for which the function is defined. From the graph, this is all the values from -2 to 5, including 5 and not including -2, since the graph does not exist at x = -2. In interval notation, this would be: (-2, 5]
The range is all the y-values the function outputs across its domain. From the graph, this is all the values from -3 to 3, not including -3, but including 3 (for the same reason as above). In interval notation, this is (-3, 3].