Wetzel                                                                                                             

Math 110

Test #2

Please turn off and put away cell phones!!

1.)  Given the polynomial, , find the following:

            a.)  Write the list of possible zeros:  ___________________________________

            b.)  How many zeros does P(x) have?  __________

            c.)  Is c = -5 a zero?  ___________

            d.)  Divide P(x) by (x – 2).

2.)  Find the zeros of .    (Hint:  watch the multiplicity)

3.)  Write a polynomial with real-number coefficients and zeros of -5, 3, and i.

            P(x) = _____________________________

4.)  Write a possible function for the following graph.

            P(x) = _________________________

5.)  Given the function, , find the following.  If something does not exist, state “No Solution.”

            a.)  State the domain of P(x).  ________________

            b.)  Find the intercepts.

                        x-intercept:  ___________       y-intercept:  ____________

            c.)  Write the equation for each asymptote.

                        Vertical:  ______________

                        Horizontal:  ______________

                        Oblique:  ______________

            d.)  Graph.

6.)  Given the function,  write the ordered pair for each of the following.  Round to the nearest tenth.  If one does not exist, state “No Solution.”

            a.)  Relative maximum:  _____________

            b.)  Absolute maximum:  ____________

            c.)  Relative minimum:  _____________

            d.)  Absolute minimum:  ______________