M408K Final Exam Review – Day 2
1)
Find the absolute Maximum and Minimum of
4
2
( )
2
3
f x
x
x
on
2,3
2)
Which of the following functions satisfy the hypotheses of the Mean Value
Theorem?
A)
2
1
( )
on [0,2]
2
f x
x
B)
( )
on [0,1]
f x
x
C)
1 3
( )
on [
1,1]
f x
x
3)
Suppose an expression for a function
( )
f x
is given, and you are using calculus to
sketch a graph of
( )
f x
.
Describe the process that you would use to for finding:
a) Local Maximums and Minimums
b) Points of Inflection
c) Other points of interest for graphing purposes
4)
For the function
4
3
( )
4
f x
x
x
A)
Find intervals of Increase and Decrease
B)
Find Local Maximum and Minimum
C)
Find intervals of concavity & inflection points.
D)
Sketch the graph
5)
Find any vertical, horizontal, or oblique asymptotes of the function.
3
2
2
2
3
( )
2
x
x
x
f x
x
x

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