# Free Mathematics Tutorials # Compare Exponential and Power Functions

Exponential functions and power functions are compared interactively, using an applet. The properties such as domain, range, x and y intercepts, intervals of increase and decrease of the graphs of the two types of functions are compared in this activity.

## Power an Exponential Functions

The properties of exponential functions of the form
f(x)= B x

and power functions of the form
g(x)= x P

are compared interactively, using an html5 applet, by changing the base
B of the exponential function and the power P of the power function.

## Interactive Tutorial

 B = 2 P = 2
>

1. Change parameters B and P and compare the domains of both functions.
2. Change parameters B and P and compare the ranges of both functions.
3. Use different values of B and P and explain which of the two types of functions grows faster as x takes larger positive values.
4. Change B and P and examine the interval(s) of increase and decrease of the two types of functions. Conclude.
5. Does the exponential function have any x intercept? Change P and examine the x intercept of the power function.
6. Compare the y intercept of the graphs of the two types of functions.