Mathematical Scratchpad
Extra Creidts (Due March 17, 2003)
Suppose the graph of
is given below. Then
graph
graph
graph
graph
A company's profit function (when number of units are produced) satisfies the following conditions:
the profit function breaks even at and units
the profit function changes signs (from to or vise versa) at but does not change sign at and
Then (a) find a profit function which satisfies all the conditions mentioned above. (b) Predict if 400 units is produced, would the company be profitable?
Sketch the graph which you have found in question above
Find a rational function that satisfies ALL the following conditions:
has two vertical asymptotes at and respectively,
has a horizontal asymptote at
page 170, number 4.
page 171, number 32, (**find only horizontal and vertical asymptotes if they exist.)
page 171, number 38 (**find only horizontal and vertical asymptotes if they exist.)