Domain of f(x):
The domain of consists of all real numbers.

Range of f(x):

The range of is the collection of all positive real numbers.

 Properties of exponentials: 

1)
2)

3)

4)   

 Increasing exponential function:
If then is an increasing function.

Decreasing function:
If then  is a decreasing function

Exponential functions are frequently used to solve mathematical problems that can be sometimes involved. The operations of exponential functions and their use are mentioned in some of the examples. The properties of exponential functions can be seen with the use of their graphs.

Euler’s number is commonly used in advanced mathematics course and physical science disciplines because most solutions depend on it. Sample problems of the use of the basic exponential function are shown through the examples.

Specific Tutorial Features:
• Step by step examples are shown to present the operations and properties of exponents.
• Problem solving techniques are used to solve exponential functions.

Series Features:
• Concept map showing inter-connections of new concepts in this tutorial and those previously introduced.
• Definition slides introduce terms as they are needed.
• Visual representation of concepts
• Animated examples—worked out step by step
• A concise summary is given at the conclusion of the tutorial.