# What is the domain and range of #y = x^2 + 7#?

##### 1 Answer

**Domain**: All real numbers **Interval Notation**:

**Range**: All values greater than or equal to seven **Interval Notation**:

#### Explanation:

Graph of

The **domain** accounts for all the **range** accounts for all the

Looking at the graph, we can see that the function stretches endlessly in both directions left and right. So, the domain is **all real numbers**. The range, however, starts from the point of **all values from 7 and increasing**.

There are different ways to go about stating the domain and range. What I included in the answer is called **interval notation**. Interval notation notes all values included in the function using parentheses and brackets. Brackets include the value, parenthesis do not.

**For example:**

*Here, interval notation is present. It states that all values including #5# all the way up to but not including #10# are included in the function.*