Problema Solution
The following rational function describes concentration in blood of a certain medicine taken once depending on time, find
a. The horizontal or oblique asymptotes(s), if any,
b. The vertical asymptote(s), if any
c. Describe their possible meanings.
F(x) = 4/x+2
Answer provided by our tutors
a. Horizontal asymptote
y = b It is a horizontal asymptote when: as x goes to infinity (or to -infinity) the curve approaches some fixed constant value "b".
In our case we have:
F(x) = 4/x+2
If x goes to infinity y approaches to 2 and y = 2 is the horizontal asymptote.
b. Vertical asymptote
Vertical asymptotes are vertical lines which correspond to the zeroes of the denominator of a real function.
The zero of the denominator is x = 0 thus the vertical asymptote is x = 0.
click here to see the graph of the function y = 4/x + 2
