One of the main reasons singers take vocal classes is to learn how to expand the vocal range. People have done a lot of research on singers like Axl Rose and Mariah Carey and have found that they have a huge variety. Whether you've been singing for decades or days, you can always work on your vocal range. Unless you got the voice of Mariah Carey, there's always room to grow.
Doing vocal exercises regularly is the fastest way to increase vocal range. Your vocal cords need to be strengthened over a long period of time, and if you don't have an established routine, you won't have much flexibility and it will likely take you much longer to develop a greater range. You should never sing in pain, so don't feel guilty about skipping a day or two of practice. A good singer does not clash with a song or rush over it, but rather finds a volume and a style that works, both for the song and for the vocal cord or vocal cords.
Just like you would warm up your muscles before exercising, you should always warm up your vocal cords before singing. Your vocal range consists of the range between the lowest and highest notes that you can sing comfortably and consistently. Every singing exercise you practice should have a goal and help your voice reach a specific vocal range. Singing out of tune, letting go or hesitating and losing balance on some notes are considered loss of vocal control and a telltale sign of an unsophisticated singer.
Whispering the voice or singing every note out loud without thinking is a sign of a non-professional singer. Imagine that the muscles in your face and neck are like small streams that feed in the ocean of your singing voice. The improved performance of the vocal cords will also help create new connections in the vocal cords. When you encounter a problem area, experiment with changing the way you articulate the vowel to make it more comfortable to sing.
Never try to sing in pain and don't feel guilty about having to skip a day or two to protect your voice. You may have a few more high notes available (or ways to integrate your falsetto range, appropriate for some singing styles). When you're constantly aware of your singing voice, you'll be more attuned to knowing if you're able to hit the right notes, produce the right pitch, and just have a better idea of what it sounds like. The siren exercise is better because it is easy to practice and very effective in improving vocal tones.
Bob Dylan doesn't sing like Beyoncé, everyone has a different voice and each singer has learned to use the voice he has.