Domain and Range for Exponential Functions

Move the sliders to transform the parent exponential function f(x) = bx into the function 
f(x) = a*bx-h + k.   Write the domain, range and the equation of the horizontal asymptote for each of the examples that follow. In addition, classify each equation as growth or decay when appropriate.

Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1.4.2 (or later) is installed and activated. (click here to install Java now)

Journal Entry:
Describe each variable's effect on the domain, range, and end behavior of the exponential function f(x) = a*bx-h + k.   Make a table if necessary.

Duke, 11/11/06, Created with GeoGebra

     1.  f(x) = 3x + 3


     2.  f(x) = 4*(.5)x-3 - 1


     3.  f(x) = -3*5x-1 + 4


     4.  f(x) = 9*10x-5


     5.  f(x) = a*bx-h + k