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Following is a partial list of topics for Math 106 with a sample problem that illustrates each topic.  Work the problem and click on the Answer button to see how you did.
   
Math 106 Topics
    
             Linear and Quadratic Functions

  

 

A small manufacturing firm collected the following data on advertising expenditures A (in thousands of dollars) and total revenue R (in thousands of dollars).
Advertising Total Revenue
20 6101
22 6222
25 6350
25 6378
27 6453
28 6423
29 6360
31 6231

 a)  Use a graphing calculator to create a scatter diagram and find the quadratic function of best fit.

b)  Use the function to find the revenue that the firm can expect if it uses the optimal level of advertising.
 

 Answer



 

 

Functions and Their Graphs
 


 
Graph the following function over the interval from (-3, 3).  Approximate any local maxima and local minima.  Determine where the function is increasing and where it is decreasing.


 

 Answer



 

 

Polynomial and Rational Functions
 


 
Determine the real zeros of this polynomial function.  Approximate all irrational zeros rounded to two decimal places.

 
 

 Answer



 

  

Exponential and Logarithmic Functions
  


  
What annual rate of interest compounded annually should you seek if you want to double your investment in 5 years?
 

 Answer



 
A thermometer reading 8°C is brought into a room with a constant temperature of 35ºC.  If the temperature reads 15ºC after 3 minutes, what will it read after being in the room for 5 minutes?
 

 Answer



 

 

Systems of Equations
  


 
Find real numbers a, b, and c such that the graph of this function

contains the points ( -1, 4), (2, 3) and (0, 1).
 

 Answer



  

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Updated 11/07/08 .   For broken links or comments, please email  vzabrocki@msubillings.edu