The domain of function g is (-7, 4) based on its graph, starting at (-7,2), forming 's' shapes, increasing to (-4,8), decreasing through the origin, and reaching a minimum between (2,3) and (-2,-3) before declining to (4,-4).
To determine the domain of the function g based on the given graph, we need to identify all the x-values for which there is a corresponding y-value.
From the description of the graph:
1. The graph starts at (-7,2).
2. It forms an 's' shape, increasing gradually until (-4,8).
3. Then, it decreases gradually forming another 's' shape and passing through the origin (0,0).
4. After that, it decreases until it reaches a point between x = 2 and 3, with a corresponding y-value between -2 and -3.
5. Finally, it decreases further until it reaches the point (4,-4).
Based on this information, we can infer that the domain of the function g includes all x-values for which there is a corresponding y-value on the graph. So, the domain of g is the set of all real numbers from -7 to 4, inclusive. In interval notation, the domain can be expressed as (-7, 4).