1. The problem asks for the difference between the maximum and minimum values of a function shown on a graph. 2. From the graph description, the maximum value of the function is approximately $11$ and the minimum value is approximately $4$. 3. The difference between the maximum and minimum values is calculated by subtracting the minimum from the maximum: $$\text{Difference} = \text{Maximum} - \text{Minimum} = 11 - 4$$ 4. Simplifying the subtraction: $$11 - 4 = 7$$ 5. The difference is approximately $7$, which is closest to option B: $6$. Therefore, the answer closest to the difference between the function's maximum and minimum values is $6$.