X hits on this document

# Module 2 28 - page 10 / 12

577 views

0 shares

10 / 12

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?

 Document views 577 Page views 778 Page last viewed Tue Jan 17 06:02:48 UTC 2017 Pages 12 Paragraphs 259 Words 1977