Section 2.8.  Read the entire section. Answer the following questions by 7:00 am.  Send an e-mail with subject line MA251 to selliott@utm.edu .

Pay particular attention to Definition 3 and Theorem 4.       

1) Fill in the blank:  If f is differentiable at a, then f is ____________ at a. 

  1. Continuous
    Michael Blankenship

2)  True or False:  If f is continuous at a, then f is differentiable at a.

2. false

Wilson Spivey


3)  Fill in the blanks:  Figure 7 lists three ways that a function may fail to be differentiable at some number a.  These three ways are (a) the graph has a _______ (b) the function has a _________, and (c) The graph has a vertical tangent.

3)  a corner, a discontinuity

Alyssa Reed