By using interval notation, the domain of the relation shown in the graph above include:
Domain = (-7, -4] ∪ [-4, -1) ∪ (-1, 4] ∪ [4, 7].
In Mathematics and Euclidean Geometry, a domain is the set of all real numbers (x-values) for which a particular relation or function is defined.
The horizontal section of any graph is typically used for the representation of all domain values. Additionally, all domain values are both read and written by starting from smaller numerical values to larger numerical values, which means from the left of a graph to the right of the coordinate axis.
Note: The symbol () represents a hollow dot (circle) and it means undefined.
The symbol [] represents a solid dot (circle) and it means defined.
By critically observing the graph shown in the image attached above, we can logically deduce the following domain written using interval notation:
Domain = (-7, -4] ∪ [-4, -1) ∪ (-1, 4] ∪ [4, 7].