Let f(x)=2x25x253x2+4x+1\displaystyle {f{{\left({x}\right)}}}=\frac{{{2}{x}^{{2}}-{5}{x}-{25}}}{{{3}{x}^{{2}}+{4}{x}+{1}}}

This function has:

1) A y intercept at y=  

2) Roots at A and B, where A < B

A =  
B =  

3) Vertical asymptotes at C and D, where C < D

C =  
D =