Question 192035
5x /(x+1)

vertical  asymptote  at  den  =0,  x+1=0,  x=-1

as  degrees  num  and  den  equal,  hor  asymptote  at  5/1 = +5

sketch  vertical  line  at  x=-1,  and  horizontal  line  at  y=+5

rough  sketch  shows  function  starting  low  at  x=-1,  rising to  rt  thru  (0,0)  to  just  under  asy  y=5

starting  high  at  x=-1,  function  decays   to  just  above  hor  asy  at  y=5  as  it  goes  to  left

end  behavior:  as x  approaches  -infinity, y  approaches  +5  from  +side

as  x  approaches  + infinity,  y  approaches  +5  from  - side