consider the graphed function.\nwhat are the domain and the range of this function?

Answer:

Domain: (-5 \leq x < 1), Range: (-4 \leq y < 7)

Explanation:

Step1: Determine the domain

The domain of a function is the set of all possible (x)-values. Looking at the graph, the leftmost point (closed dot) is at (x = -5), and the rightmost point (open dot) is at (x = 1). So the domain is (-5 \leq x < 1) (since the closed dot includes (-5) and the open dot excludes (1)).

Step2: Determine the range

The range of a function is the set of all possible (y)-values. The lowest point (closed dot) has a (y)-value of (-4), and the highest point (open dot) has a (y)-value of (7). So the range is (-4 \leq y < 7) (since the closed dot includes (-4) and the open dot excludes (7)).