College Algebra Exercises
- Use the values in the table below to find the answers :
|
x |
-3 |
-1 |
1 |
3 |
5 |
7 |
9 |
11 |
13 |
|
y = f(x) |
9 |
7 |
3 |
0 |
-4 |
-7 |
-10 |
-11 |
-15 |
a. Find the domain and range of the function y = f(x) .
b. Draw a scatter plot of data .
c. Determine the linear function that would be fitted best for the data .
d. Plot the given data and sketch the graph of BFL on the same coordinate system .
2. The total revenue of Wal-Mart for 1996 through 2005 is shown in following table :
|
Years |
Total Revenue ($ Billion) |
Years |
Total Revenue ($ Billion) |
|
1996 |
144,159 |
2001 |
122,326 |
|
1997 |
148,114 |
2002 |
123,173 |
|
1998 |
140,409 |
2003 |
124,156 |
|
1999 |
145,154 |
2004 |
125,179 |
|
2000 |
142,615 |
2005 |
122,411 |
- Align the given data in the table with x-axis represents the number of years after 1976 , y-axis represents the total revenue . Create a scatter plot of the data .
- Create a linear equation that is the best-fit for the data given (BFL) . Write the linear model .
- Graph the equation of the linear model on the same graph with scatter plot .
- Compare the changes in the annual revenue and the slope of the BFL . Find the Coefficient of Linear Correlation r ?
3. HP Compaq produces a laptop that sells for $550.35 . Producing and selling this product involved a monthly fixed cost of $135,970.50 and the cost of each is $374.55 .
- Write the equations that model total revenue , and total cost as functions of the units produced for this product during a month .
- Write the equation that models the profit as a function of units produced for this product during a month .
- Find the total revenue , total cost and profit if 1,520,000 laptops are produced and sold in a month .
d. Use Graphing Package , to draw the line represented for this model .
4. For a certain product , the weekly revenue and the weekly cost are given by :
R(x) = 52.5 x ; C(x) = 24.5 x + 1400 .50 where x is the number of units produced and sold .
a.For what level of production will a profit result ?
b.Use graphical method to find the solution of the inequality and sketch the graphs of 
, 
. ( intersection method )