The range of g is from -4 to 7.
Identify the y-values of all the given points: The points in the graph are {(3, 7), (4, 1), (1, 7), (-7, -4)}. From these points, we can identify the following y-values: {1, 4, 7, -4}.
Determine the minimum and maximum y-values: Since the range is the set of all possible y-values, we need to find the minimum and maximum values among the identified ones. In this case, the minimum y-value is -4 and the maximum y-value is 7.
Express the range as a set: Therefore, the range of g can be expressed as the set of y-values between the minimum and maximum, inclusive: {-4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7}.
In simpler terms, the range of g covers all the y-coordinates from -4 to 7, encompassing all the plotted points and the empty spaces in between.