Math 1210-001
Homework 2
Due 3 June, 2013
This homework assignment is designed to go along with sections 1.6 through
2.2 of your textbook, which we have completed in class. The majority of
your score will be based on how you organize and demonstrate the process of
solving each problem. To that end, make sure your work is neat, legible,
well-organized and self-explanatory. You must staple your assignment to
receive full credit.
Name:
1. (10 points) At what points, if any, is f (x) discontinuous? Classify each discontinuity as
removable or non-removable.

x
if x < 0



1
if x = 0
f (x) =
2

x
if 0 < x ≤ 1



1 − x if x > 1
1
2. (10 points) Sketch the graph of the equation y = x−1
. Find the equation of the tangent
line to the curve at (0, −1), and sketch this tangent line on the same axes as your first
graph.
3. (10 points) Use the definition of the derivative to calculate g 0 (x) if g(x) = x4 + x2 .