# How do you find the domain and range of #2 / x^2#?

##### 1 Answer

Domain:

Range:

#### Explanation:

The domain is the input of the function. In this case, the domain has a restriction. The denominator can never be equal to 0. Since we have

Our domain is

Next is to find the range. In this case, note that the range cannot be equal to 0 since we have a variable in the denominator. To find the range, you can plug in numbers to find out what the range is. There is a simpler way to find it. If you input smaller numbers for x, your output for y will be larger. A larger input for x will result in a smaller input for y. As seen in the following graph, the range approaches but never touches or crosses the x-axis. The range also goes to infinity, so the the range is

graph{2/(x^2) [-10, 10, -5, 5]}