## Understanding Domain and Range Part 3

In the **previous post**, we have learned how to analyze equations of functions and determine their domain and range. We have observed that the range of the functions and are the set of **real numbers** greater than or equal to since squaring a number or getting its absolute value results to or a positive real number. We also learned that for a function to be defined, the number under the square root sign must be greater than or equal to 0. Lastly, we have learned that we cannot **divide by zero** because it will make the function **undefined**.

In this post, we are going to continue our discussion by examining functions with equations more complicated than those in the second part of this series.

**Squares and Absolute Values**

1.

*Domain*: The function is defined for any real number , so the domain of is the set of real numbers.

*Range*: The minimum value of is for any real number and . So, the minimum value of the function is . We can make the value of the function as large as possible by increasing the absolute value of . So, the range of the function is the set of real numbers greater than or equal to or in interval notation. » Read more