The graph of the function is defined for x greater than or equal to -2 and less than 3. So domain of the function is,
[tex]\lbrack-2,3)[/tex]The value of the function lies between -2 and 3. The function value is greater than or equal to -2 and less than 3. So range of function is,
[tex](-2,3\rbrack[/tex]