find the domain and range of the following graph in interval notation. domain: range: note: if you do not…
find the domain and range of the following graph in interval notation. domain: range: note: if you do not see an endpoint, assume that the graph continues forever in the same direction.
Answer
Explanation:
Step1: Determine the domain
The domain is the set of all (x -)values for which the graph is defined. Looking at the graph, it extends from (x =-\infty) (since there is no left - hand endpoint shown, we assume it continues) to (x=\infty) (since there is no right - hand endpoint shown, we assume it continues).
Step2: Determine the range
The range is the set of all (y -)values. The lowest point on the graph has a (y -)value of (-1) (at the vertex of the "V" - shaped graph), and the graph extends upwards to (y=\infty) (since there is no upper - bound shown for (y) values as the graph continues).
Answer:
Domain: ((-\infty,\infty)) Range: ([-1,\infty))