You should KNOW

1. That exponential functions are those of the form
f(x) = a^x  where a > 0 (but not 1), that  the constant a
is called the base   of the exponential function, that
the domain of any exponential function is the whole
line, the range is the set of positive reals.

2.  The meaning of, say, 2^3.564  or 2^sqrt(3) in terms of
your previous knowledge of the meaning of 2^x when
x is a an ordinary fraction.

3. What the graphs of exponential functions look like:
that such functions are increasing when a > 1 and
decreasing when a < 1.  how the graphs of say,  3^x
and 4^x  are related to each other, how the graph of
a^x  is related to that of (1/a)^x , that exponential functions
are 1-1 and thus have inverses.

4. The difference between, say,  2^x   and x^2 !!

5. That there is a special number, called e, which is
approximately  2.718....  that has especially useful
properties when used as the base of an exponential
function.

6.  What compound interest is, what continuously
compounded interest is, and how an
exponential function with base e can be used to
give a formula to compute this interest.

You should be ABLE TO

1. Evaluate, by hand in simple cases, and using
your calculator in others, exponential function values.

2. Sketch graphs of exponential functions and those
obtained from them by stretching and translating.

3. Solve simple equations involving exponential
functions.

4. Solve a variety of problems about exponential
growth and decay, including compound interest,