SOLUTION
The domain of a function is the complete set of possible values of the independent variable.
The domain of a function always lies on the x-axis
Hence for the graph given, the domain is
[tex]\begin{gathered} \lbrack-2,3)\text{ in interval notation } \\ \text{and } \\ -2\leq x<3\text{ in inequality } \end{gathered}[/tex]
Therefore, the domain is
[-2,3) for interval notation and -2<=x<3 for inequality
The Range
The range is the set of possible output values, which are shown on the y-axis.
Hence the range lies on the y-axis.
Hence for the Range of the graph given is
[tex]\begin{gathered} (-5,4\rbrack\text{ in interval notation } \\ \text{and } \\ -5Therefore, the Range is
(-5,4] in interval notation and -5
