Question

domain and range adjust the domain and range so that the entire graph fits into your rectangle. what is the domain? -2 < x < 1 edit my response

Explanation:

Step1: Identify domain from graph

The domain is the set of all x - values of a function. Looking at the graph, the left - most x - value is just greater than - 3 (open circle) and the right - most x - value is 3 (closed circle). So the domain is $-3\lt x\leq3$.

Step2: Adjust domain and range

To fit the entire graph into the rectangle, we need to make sure all x - values and y - values of the graph are within the rectangle. The y - values range from 0 to 2. So a good domain could be $- 4\leq x\leq4$ and range could be $-1\leq y\leq3$ to fully enclose the graph.

Answer:

Domain: $-3\lt x\leq3$; Adjusted domain: $-4\leq x\leq4$, Adjusted range: $-1\leq y\leq3$