Module 2 37

intercepts?

# Rational Functions

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”.

c.

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.

A(x) =

B(x) =

C(x) =

D(x) =

E(x) =

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).

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?