Wetzel                                                                                                              Math 102

Test #5

Read each problem carefully and check your work. Please circle your final answers.

1.)  Write a function for a line in slope-intercept form that passes through the point (3,0) and (0,-2).

2.)  Find the domain and range of the following graphs and write in interval notation.

            a.)  Domain: ___________                   Range: __________

          b.)  Domain: ___________                  Range: __________

3.)  Find the intercepts of the line .  Write your answer as an ordered pair.

            x-intercept: _________                                    y-intercept: __________

4.)  Given ,  find…

            a.)                    a = _______    h = _______    k = _______

            b.)  Sketch the graph.

5.)  Write a function for each of the following graphs.

            a.)  f(x) = _____________________

          b.)  f(x) = ______________________

6.)  The function, ,  has a at the point ________.

7.)  A student club decides to sell burgers on campus to raise money for a scholarship fund.  The club must pay the college a $25 fee to reserve space for their booth.  In addition, they must spend another $40 for condiments and paper goods.  They determine that it will cost $0.55 for ingredients to make each burger and they plan to sell their burgers for $3 each.

            a.)  Find the cost function, revenue function, and profit function.

            b.)  How much profit will  be generated if the club makes and sells 50 burgers?

8.)  Given the functions,

            ,  ,  and 

            find the following.

            a.)  = ___________                              b.)  = ____________

            c.)  = ___________                          d.)  ___________