 So it makes sense to split the plot in three parts. (Currently the middle part is not visible, but it may become visible if you change different values for ymax. I also added unbounded coords=jump.) The asymptotes can be added via \draw, where the end points are determined via \pgfkeysvalueof{/pgfplots/ymin} etc. (BTW, when you say variable=\y the variable in the plot also has to become a \y, but I replaced the plot by a straight line.)
\documentclass[tikz,border=3mm]{standalone}
\usepackage{pgfplots}
\pgfplotsset{compat=1.17}
\begin{document}
\begin{tikzpicture}
    \begin{axis}[
    axis lines = center,
    xmin = -20,
    xmax = 20,
    ymin = -20,
    ymax = 20,
]
%f(x)
\addplot [unbounded coords=jump,
    domain=-20:-2, 
    samples=41, 
    color=red,
]
{(3*x+6)/(x-1)};
\addlegendentry{$f(x)$}

\addplot [unbounded coords=jump,
    domain=-2:1, 
    samples=16, 
    color=red,
]
{(3*x+6)/(x-1)};

\addplot [unbounded coords=jump,
    domain=1:20, 
    samples=46, 
    color=red,
]
{(3*x+6)/(x-1)};

%Vertical Asymptote
%\draw [dashed] (1,20) -- (1,-20);
%\addplot[domain=-20:20,variable=\x,style=dashed] {1};
\draw[dashed] (1,\pgfkeysvalueof{/pgfplots/ymin}) --
(1,\pgfkeysvalueof{/pgfplots/ymax})
(\pgfkeysvalueof{/pgfplots/xmin},3) --
(\pgfkeysvalueof{/pgfplots/xmax},3);
\end{axis}
\end{tikzpicture}
\end{document}


Kymber Wilson, a senior accounting and finance major, first joined the ULM BCM her sophomore year.
Ever since, it has been a haven and a family for Wilson who says everyone there supports and prays for each other.
In the recent event of the Louisiana flood, the BCM partnered with the North Monroe Baptist Church to help with flood relief programs. Ten of the 14 BCM volunteers were from ULM, Wilson being one of them.
The Monroe group worked in flooded areas for an entire weekend and were able to help out with around eight houses.
Wilson’s decision to reach out to victims down south was influenced by the flood event that plagued Monroe.
“I knew these people had it 10 times worse than we did [in the March flooding]. They had way too much on their plate to handle by themselves,” said Wilson.
The group stayed at Jefferson Baptist Church during the whole trip and mostly worked in Denham Springs.
The severity of the flooding, according to Wilson, was not comparable with what she had expected it to be.
According to Wilson, the flood relief program had about 400 student volunteers, with representations from seven different states, the country Canada and 22 different colleges during that single weekend mission.
All the 14 student volunteers had to drive in a single van to Baton Rouge.
Wilson’s bag only had the necessities like working clothes, water boots, safety goggles, mask, gloves and a few handheld tools like hammers and nail pullers.
“We had enough for every student to have a tool. So everyone was working and no one was standing around doing nothing,” said Wilson.
Melody Kramme, a sophomore psychology major, described her volunteering experience as eye opening.
“Families cried when we came to help, and it felt amazing that we were able to go and be there,” said Kramme. “My group helped pull out nails from the wall, scrape up vinyl flooring, move furniture, clean out sheds and tear out walls,” Kramme said.
Kramme said all the hard hard made an impact.
Part of their service also required them to demolish damaged walls, bathtubs and anything else deemed unusable.
Wilson shared that the main purpose of the trip was to provide service.
The majority of their time was spent doing labor works like floor ripping, pulling off nails and cleaning houses.
Sports
[ODDS and EVENS] Tsubasa Kajitani Fulfills Dream by Winning Augusta National Women’s Amateur
The 17-year-old Okayama Prefecture native became the first Asian to capture a title at the home of the Masters.
~~
Just days before the 85th Masters begins at Augusta National Golf Club, Tsubasa Kajitani grabbed the spotlight in a tournament that showcases the world’s best up-and-coming female golfers.
Kajitani won the Augusta National Women’s Amateur in a sudden-death playoff on Saturday, April 3. The 17-year-old became the first Asian to capture a title at the home of the Masters.
The Okayama Prefecture native’s accomplishment resonated throughout the global golf community.
It even grabbed Tiger Woods’ attention.
“Congrats to Tsubasa Kajitani on winning the Augusta National Women’s Amateur with an amazing playoff finish,” tweeted Woods, who is recovering from a single vehicle rollover in late February. “Enjoy the special moment.”
The victory was “a dream come true,” Kajitani declared.
Indeed, it was a thrilling experience for her.
“I’m really proud to be the first ever Japanese [player] to win here,” Kajitani said through an interpreter. “I can’t really imagine [the reaction] when I’m back in Japan, but hopefully everybody is happy and will enjoy it. I’m looking forward to going back to Japan.”
Tsubasa Kajitani
Among the perks of winning the Augusta extravaganza, Kajitani will receive invitations to this year’s U.S. Women’s Open and Women’s British Open, as well as the next five Augusta National Women’s Amateur events.
To make it happen, Kajitani needed to rebound from a shaky sequence toward the end of the final round. A double bogey on the 17th hole could’ve ended her title hopes. Instead, Kajitani was determined to bounce back.
“Of course I have been disappointed, such as I made a double-bogey on the 17th, but my caddie [Chad Lamsback] said just look forward to the 18th,” Kajitani said. “So I changed my mind and I just switched off and switched on to the 18th. So that’s why I made a par on 18.”
Credit Lambshack for developing a solid rapport with Kajitani and other Japanese golfers over the years. Combine his words of wisdom and steady demeanor, and you have golf’s equivalent of a hockey, soccer or basketball assist.
“Chad has caddied for a few Japanese before, [including] Mr. Takumi Kanaya, he played the Masters when he was an amateur, and now he became a professional … [and] Yuka Yasuda, she was [tied for third at the 2019 Augusta National Women’s Amateur] and she was also using Chad, as well,” Kajitani said. “That’s why we just trust him.”
Kajitani and Emilia Migliaccio, a 21-year-old Wake Forest University senior, squared off in a sudden-death playoff, which began on the par-4 18th hole, and would’ve continued on the 10th hole, then repeating if necessary.
In the one-hole playoff, Kajitani shot even par, while Migliaccio was 1-over par.
‘A Spectacular Two-Putt’
On the final hole of the third round, Kajitani punctuated the pressure-filled moment with, as described on the event website, “a spectacular two-putt on the 18th green and gave a mini fist-pump before exchanging hugs with her caddie and Migliaccio.”
Asked to describe what was going through her mind in that pivotal moment, Kajitani summed it up by saying, “I had to think and concentrate on that putt. I made a lot of putts this week and I was confident and I had to make it, and then I made it.”
Kajitani completed the 54 holes at 1-over par 217 (73-72-72) before beating Migliaccio in the playoff. Thirty players made the cut for the final round for the event that was first held in 2019.
Entering the final round, Kajitani was tied for fifth place. She strengthened her chances of winning the Augusta National Women’s Amateur with birdies on the eighth, 14th and 15th holes.
“I wasn’t really expecting to win the tournament,” Kajitani, who was No. 26 in the World Amateur Golf Ranking during the tourney in Augusta, told reporters