How to use
This applet draws an exponential function of the form
y=Cekx, through the two points
(x0,y0) and
(x1,y1).
The coordinates of the points
(x0,y0) and
(x1,y1)
can be determined in either of two ways:
Click and drag the points on the graph --
the point (x0,y0)
is colored green on the graph, and
(x1,y1) is colored red.
Enter values directly into the text input fields marked
"x0=",
"y0=",
"x1=", and
"y1=".
The text input fields can accept any decimal number.
The
buttons under the graph allow various manipulations of
the graph coordinates.
The "Clear" button resets the points to the
initial settings.
Examples
Other Notes
The initial settings for the two points give the "natural" exponential
function y=ex, with
(x0,y0)=(0,1)
and (x1,y1)=(1,e).
If the two points
(x0,y0)
and (x1,y1)
are on opposite sides of the x-axis (as in the
"No Solution Curve" example above), then there are no
valid solutions for C and k in the equation
y=Cekx.