Gr Assign - Graph Rational Functions

Part I

For the rational functions, do the following

     1.  Find the zeros and place them on a number line.

     2.  Include Test Points, then determine the function's behavior around these zeros.

     3.  Identify all Vertical Asymptotes.

         (Note - vertical asymptotes are lines, not points! Label accordingly.)

     4.  Using interval notation, describe the function's behavior, citing whether the behavior is above or below the x-axis.

     5.  Identify where the function is discontinuous and the type of discontinuity.

   6.  If there is a hole in this graph, identify it.

     ~   Record your work on the provided document. You will need to print out 2 copies.         

     ~   You can use Notability to record your work on the above doc. label,

     ~  Save the above-written analysis as Rat_Gr_Analy_LastName.

Part II

     ~  After (and only after you do the written analysis) use Desmos to graph each function.

   ~  Identify and label the points where the graph crosses the x-axis.

   ~  Using your written analysis, answer the following questions for each problem: 

      1.   Were your zeros correct? If not, describe your mistake.

      2.  Were your vertical asymptotes accurate?  If not, describe your mistake.

      3.  Were the intervals describing the region above the x-axis correct? 

                                           If not, describe your mistake.

      4.  Were the intervals describing the region below the x-axis correct? 

                                            If not, describe your mistake.

   ~  Include your name on each Graph.

   ~  Save each graph as follows:  Prob#_Rat_Gr_LastName (# should be 1, or 2)

   ~  Point value: 20 pts.

Include the following at the top of your work page.

   I pledge my honor that I will not violate Nazareth's Honor Code during this graded assignment.