Module 2 37
1. For each of the following rational functions:
a. Find the domain.
b. Find the vertical asymptote(s), if any. If no vertical asymptote, write “No VA”.
State whether the function has a horizontal asymptote, a slant asymptote or
neither; then state the equation of the horizontal or slant asymptote, if any.
2. A rare species of insect was discovered in the rain forest. In order to protect the species,
environmentalists declare the insect endangered and transplant the insects into a
protected area. The population of the insect t months after being transplanted is
given by P(t).
a. How many insects were discovered? In other words, what was the population
when t = 0?
b. What will the population be after 5 years?
c. Determine the horizontal asymptote of P(t). What is the largest population that the
protected area can sustain?