M125 Optional Project – Exploring Continuity

Section 2.5  -  10 points

Date due:

 

 

1.  Are there any values of c and m that make

      continuous at x = 1?  Find c and m, or explain why they do not exist.

 

 

 

 

 

 

2.  Consider the function

     a)  Sketch the graph of the function for -1 < x < 2.  Be Careful.  Pick many    

           points.  Show the table of x and y values used.

[image]

            b)  For what values of a,  -1 < a < 2 is ?

 

 

 

            c)  Compute  and for , if they exist.  Explain your answers.