SOLUTION:
The function is;
Factorizing the numerator and the denominator, we have;
There is a hole at x = 2.
Cancelling the common x - 2 terms, we have;
The hole exists at the point ( 2, 4 );
The y-intercept is the point (0, -2 ) ;
The x-intercept is at the point ( -2. 0) ; Since
The horizontal asymptote is the line;
The vertical asymptote is the line;
The graph is plotted below;
Clearly, all attributes of the graph is evident here.
The domain and range of the function is;
The range is;