Question

1. domain: ( , ) range: ( , ) 4.

Explanation:

Step1: Recall domain - range definitions

The domain of a function is the set of all possible input values (x - values), and the range is the set of all possible output values (y - values). For a linear function (the graph in the picture is a straight - line, which represents a linear function), unless there are specific restrictions, the domain and range are all real numbers.

Step2: Write domain

Since there are no vertical asymptotes or other restrictions on the x - values for a linear function, the domain is all real numbers, which in interval notation is $(-\infty,\infty)$.

Step3: Write range

Since there are no horizontal asymptotes or other restrictions on the y - values for a linear function, the range is all real numbers, which in interval notation is $(-\infty,\infty)$.

Answer:

Domain: $(-\infty,\infty)$
Range: $(-\infty,\infty)$