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: 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.