determining the domain and range from a graph\ndetermine the domain and range of the given function.\nthe…

Explanation:

Step1: Identify domain concept

The domain of a function is the set of all possible x - values. Looking at the graph, the function extends infinitely in both the left and right directions along the x - axis.

Step2: Determine domain

So, the domain is all real numbers, which can be written as $(-\infty,\infty)$.

Step3: Identify range concept

The range of a function is the set of all possible y - values. The lowest point of the graph is at $y = - 2$ and it extends infinitely upwards.

Step4: Determine range

So, the range is $[-2,\infty)$.

Answer:

The domain is $(-\infty,\infty)$ The range is $[-2,\infty)$