What is the range of ?
(Type your answer in interval notation.)

The function is an exponential function, which means it will always produce positive values. As approaches negative infinity, approaches zero but never actually reaches it. Conversely, as goes to positive infinity, increases without bound. Thus, the range of is all positive real numbers, which can be expressed in interval notation as .

As a fun fact, exponential functions are used in various real-world scenarios, such as calculating populations, radioactive decay, and compound interest. In these contexts, understanding the behavior and range of such functions can help in making predictions and decisions, illustrating their practical importance in everyday life!