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\centerline{Mathematics 133 -- Intensive Calculus for Science 1}
\centerline{Things to Know -- Quiz 2}
\centerline{September 13, 2000}
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\noindent
The second graded quiz of the semester will be given 
in class on Friday, September 15.  There will be three or 
four questions similar to problems from the second problem set.
You should know the following material.
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\item{1)}  Inverse functions.  Know:
\itemitem{a)}  How to tell whether or not
a function is invertible from its graph, 
\itemitem{b)} How to derive
a formula for the inverse function $f^{-1}$ from a formula for $f$,
\itemitem{c)} How to sketch the graph of the inverse function from 
the graph of $f$.
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\item{2)}  The logarithm functions $f(x) = {\rm log}_a(x)$ and 
their properties
\itemitem{a)} $g(x) = {\rm log}_a(x)$ is the inverse function of the 
exponential function $f(x) = a^x$.
\itemitem{b)}  Formulas for logs of products, quotients, powers 
and how to apply them
\itemitem{c)}  The shapes of the graphs $y = {\rm log}_a(x)$
\itemitem{d)}  Using logarithms to solve equations involving
exponentials
\itemitem{e)}  The {\it natural logarithm function} $f(x) = \ln(x)$
(the logarithm function with base $a = e = 2.71828\cdots$)
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\noindent
Good Review Problems:
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\item{1)}  Section 1.5/problems like 8-11, 17, 18
\item{2)}  Section 1.6/problems like 2-8, 13-17, 27
\item{3)}  Section 1.7/problems like 2-7, 24-27, 31
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