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.

- Continuous

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

2. false

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