Question

give the domain and the range of the function whose graph is shown to the right. when arrows are drawn, assume the function continues in the indicated direction. the domain is \\( (-infty, infty) \\) (type your answer in interval notation.) the range is \\( \square \\) (type your answer in interval notation.)

Explanation:

Step1: Determine the Domain

The domain of a function is all the x - values the graph covers. Since the arrows indicate the function continues indefinitely in both horizontal directions, the domain includes all real numbers. In interval notation, this is $(-\infty, \infty)$.

Step2: Determine the Range

To find the range, we look at the y - values the graph covers. From the graph, we can see that the function extends infinitely in both the positive and negative y - directions (as the arrows suggest it continues without bound vertically). So the range also includes all real numbers, which in interval notation is $(-\infty, \infty)$.

Answer:

The domain is $(-\infty, \infty)$ and the range is $(-\infty, \infty)$