Mathematical Scratchpad
Additional Practices on Rational Functions
Find two rational functions satisfying ALL the following conditions:
has two vertical aysmptotes at and respectively,
has a horizontal aysmptote at
If Then
find the vertical asymptote(s) for
find the horizontal asymptote for if any.
If Then
find the vertical asymptote(s) for
find the horizontal asymptote for if any.
Assume you find a horizontal asymptote for above, say determine what happens to the value of when (Is or
Suppose the average cost per unit for producing
number of units for a manufacturing company is given by
If units are produced, find the average cost per unit.
If find the average cost per unit.
Suppose the average profit per unit for selling
number of units for a manufacturing company is given by
If units are produced, find the average profit per unit.
If find the average profit per unit.
A manufacturing plant has determined that the cost
(in dollars) of removing
of the smokestack pollutants of its main smokestack is modeled by
What is the vertical asymptote of this function?
What does the vertical asymptote mean to the plant owner?
If the plant owner spends how much pollutants can be removed?