Questions over the directed reading handout, Section 2.5 (html)(pdf)?
Section 2.7: The Intermediate Value Theorem
A challenge....
The Intermediate Value Theorem:
If f is a continuous function on the closed interval [a,b]
and the number M satisfies f(a) < M < f(b) (note: the
endpoints are not equal), there is a point c between a and
b where f(c) = M.
What can go wrong if f(a)=f(b)?
One thing this gives us is a method for finding roots of functions to greater and greater precision -- The Bisection Method.
Examples:
Preliminary questions, p. 86: 1, 2, 4
#7, p. 86
#15, p. 86
#24, p. 87
Questions over the directed reading handout, Section 2.7 (html)(pdf)?
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