gerryrains
New member
- Joined
- Nov 8, 2008
- Messages
- 1
In your definition of asymptotes you state that an asymptote of a relationship y = f(x) is a line that f(x) approaches but never reaches. You then precede to use the function y = f(x) = (4x+2) / (x^2 + 1).
You state that there is a horizontal asymptote since as x--> infinity, y --> 0 but never reaches it. Of course that is absolutely correct. However you then state that there is a vertical asymptote. The graph does not show that and I can't imagine what that asymptote might be.
Since all vertical asymptote must be of the form x = a, would you please tell me what the value of a is for the equation x = a? It certainly cannot be x = 0, since when x = 0, y = f(x) = 2. Clearly you are restricting the domain to the Real, as opposed to the Complex, numbers and I am quite bewildered.
Any clarification would be greatly appreciated.
Thank you,
Gerry Rains
You state that there is a horizontal asymptote since as x--> infinity, y --> 0 but never reaches it. Of course that is absolutely correct. However you then state that there is a vertical asymptote. The graph does not show that and I can't imagine what that asymptote might be.
Since all vertical asymptote must be of the form x = a, would you please tell me what the value of a is for the equation x = a? It certainly cannot be x = 0, since when x = 0, y = f(x) = 2. Clearly you are restricting the domain to the Real, as opposed to the Complex, numbers and I am quite bewildered.
Any clarification would be greatly appreciated.
Thank you,
Gerry Rains