### Graphing Exponential Functions

Graphs an exponential function of the form y=C ekx, given two points on the graph.
How to use   ||   Examples   ||   Other Notes

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
 "Natural" Exponential:    (x0,y0)=(0,1) (x1,y1)=(1,e) Base 2 Exponential:    (x0,y0)=(0,1) (x1,y1)=(1,2) Exponential Decay:    (x0,y0)=(-1,2) (x1,y1)=(0,1) No Solution Curve: (x0,y0)=(0,1) (x1,y1)=(1,-1)
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.