Let f(x)=29x212x+48x2+2x3=2(3x2)(3x2)(4x+3)(2x1)\displaystyle {f{{\left({x}\right)}}}=-{2}\cdot\frac{{{9}{x}^{{2}}-{12}{x}+{4}}}{{{8}{x}^{{2}}+{2}{x}-{3}}}=-{2}\cdot\frac{{{\left({3}{x}-{2}\right)}{\left({3}{x}-{2}\right)}}}{{{\left({4}{x}+{3}\right)}{\left({2}{x}-{1}\right)}}}

1) The domain in interval notation is   

2) The y intercept is the point   

3) The x intercept(s) is/are the point(s)   

4) The vertical asymptote(s) is/are    and  
Give the left asymptote first and enter DNE if there is only one vertical asymptote.

5) The horizontal asymptote is