Name: ____________________________ Math 172 Spring, 2009
Quiz 2
1. Consider the function
f
whose graph is shown below.
-
2
-
1 1 2
0.5
1.0
1.5
2.0
a. (2 pts) Is
f
continuous at 0?x
=
( Explain why or why not.)
b. (2 pts) Is
f
continuous at 1?x
=
( Explain why or why not.)
2. (3 pts) Use the limit definition to find '(2)f, where 2
() 1fx x
=
+.
3. (3 pts) Find the equation of the tangent line to the graph of 2at the
point where 2x=.
() 1
fx x=+