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\centerline{Mathematics 133 -- Intensive Calculus for Science 1}
\centerline{Things to Know -- Quiz 1}
\centerline{September 6, 2000}
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\noindent
Recall that the first graded quiz of the semester will be given 
in class on Friday, September 8.  There will be three or 
four questions similar to problems from the first problem set.
You should know the following material.
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\item{1)}  Linear functions and their properties (Section 1.2)
\itemitem{a)}  The slope-intercept ($y = mx + b$) and 
point-slope ($y - y_0 = m(x - x_0)$) forms for linear
functions
\itemitem{b)}  The meaning of the slope and how to determine 
it from either a formula for the function, or from a table of values
\item{2)}  Exponential functions and their properties (Section 1.3)
\itemitem{a)}  The general formula for exponential functions
$f(x) = ba^x$ (or using different letters, $P(t) = P_0 a^t$, as on page
17 of the text).  
\itemitem{b)} Exponential growth versus exponential decay (which values
of $a$ give which case)
\itemitem{c)}  Be able to determine an equation for an exponential
function, given a graph or a table of values.
\itemitem{d)}  How to tell exponential functions apart from linear functions
\item{3)}  Power functions and their properties (Section 1.4)
\itemitem{a)}  Algebraic rules for exponents
\itemitem{b)}  The general form of power functions: $y = k x^p$
\itemitem{c)}  The general shapes of their graphs.
\itemitem{d)}  Which functions grow faster as $x$ grows: powers or
exponentials?
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\noindent
Good Review Problems:
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\item{1)}  Section 1.2/11, 18
\item{2)}  Section 1.3/problems like 7-9, 20-22
\item{3)}  Section 1.4/problems like 1-8, 10
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