select the domain and range of the graph in set - builder and interval notation. domain = select choice or…

Explanation:

Step1: Identify domain concept

The domain is the set of all possible x - values. For a linear graph that extends infinitely in both directions, all real numbers are possible x - values.

Step2: Write domain in set - builder notation

The set - builder notation for all real numbers is ${x|x\in\mathbb{R}}$.

Step3: Write domain in interval notation

The interval notation for all real numbers is $(-\infty,\infty)$.

Step4: Identify range concept

The range is the set of all possible y - values. Since the linear graph extends infinitely up and down, all real numbers are possible y - values.

Step5: Write range in set - builder notation

The set - builder notation for all real numbers as the range is ${y|y\in\mathbb{R}}$.

Step6: Write range in interval notation

The interval notation for all real numbers as the range is $(-\infty,\infty)$.

Answer:

Domain (set - builder notation): ${x|x\in\mathbb{R}}$ Domain (interval notation): $(-\infty,\infty)$ Range (set - builder notation): ${y|y\in\mathbb{R}}$ Range (interval notation): $(-\infty,\infty)$