MthT 430 Projects Chapter 3 Functions
MthT 430 Projects Chapter 3 Functions
In class September 19, 2007
The oneover Function


The oneover (reciprocal) function will be the function defined by
F(x) = 1

x
.
1.
What is the domain of F?
2.
For what values of x is (F°F)(x) = x?
3.
Construct an extension G of F such that (G°G)(x) = x for all x ∈ R.
4.
Construct some slight modifications H1, ... of F such that (H.°H.)(x) = x for all x ∈ R.
5.
Think of some continuous functions C(x) such that (C°C)(x) = x for all x ∈ R.
Problems from Spivak - Turn in September 26, 2007 as Problem Set 04.
1.
Chapter 3, Problems 4 and 5
2.
Chapter 3, Problem 10
Descriptions of Graphs


Draw the graph of a (not too complicated) function f. Write down a description (complete sentences) of the graph including information about intervals of continuity, monotonicity, and concavity and the values of f(x) at not more than four points. Pass the description only to your neighbor to draw the graph. Compare your neighbor's graph with your own and discuss.
Repeat!
Group Version
As a group, draw the graph of a (not too complicated) function f. Write down a description (complete sentences) of the graph including information about intervals of continuity, monotonicity, and concavity and the values of f(x) at not more than four points. Pass the description only to another group to draw the graph. Compare the other group's graph with your own and discuss.
Repeat!



File translated from TEX by TTH, version 4.05.
On 18 Sep 2014, 21:07.