1.  Find the following limits without using a graphing calculator or making tables.

 

(a)  (b)  (c)

 

2.  For each piecewise linear function, graph the function and find:

 

 

(a)  (b)

 

3.  For each piecewise linear function, graph the function and find:

 

 

(a)  (b)

 

4. Find the value of k which makes the following piecewise linear function continuous:

 

1. (b)

 

5.  Determine whether each function is continuous or discontinuous.  If the function is discontinuous, state where it is discontinuous.

 

(a)  (b)

 

(c)  (d)

 

6.  Use the definition of derivative as limit of a difference quotient to find the derivative of each function given, at  x = x0 .

 

(a)  (b)  (c)

7.  Use the results in  Problem 5.  above to find an equation of the tangent line to the graph of each  f(x)  at the point indicated.