This might feel a bit
more difficult to graph, because just about all of my y-values
will be decimal approximations. But if I round off to a reasonable number
of decimal places (one or two is generally fine for the purposes of
graphing), then this graph will be fairly easy. I just need to make
sure that I've drawn a nice neat graph with a consistent scale on my
axes.

If the power in an exponential
isn't linear (such as "–x"),
but is instead quadratic (such as "2x^{2}")
or something else, then the graph may look different. Also, if there is
more than one exponential term in the function, the graph may look different.The
following are a couple of examples, just to show you how they work.

Graph y
= 3×2^{–x2
}

Because the power
is a negative quadratic, the power is always negative (or zero).
Then this graph should generally be pretty close to the x-axis.

There
are very few points here that are reasonable to graph. I'll
join the points I've got, and make sure that I remember to draw
the graph as a curvy line:

Graph the following:

This is actually a useful
function (called the "hyperbolic sine function"), but you
probably won't see it again until calculus. In any case, I compute points
and plot, as usual:

Sometimes you will see
the more-complicated exponential functions like these. At this stage in
your mathematical career, though, you will probably mostly be dealing
with the standard exponential form. So make sure that you're comfortable
with its general shape and behavior.

To review: below are some
different variations on the same basic exponential function, with the
associated graph below each equation. Note that, even if the graph is
moved left or right, or up or down, or is flipped upside-down, it still
displays the same curve. Make sure you are familiar with this shape!