Question: User: -10 -8 -6 -4 -2 0 2 4 6 8 10 14 12 10 8 6 4 2 0 -2 -4 -6 Graph shape and math: A blue smooth curve rises on the far left near x = -7.5 and y = 13, falls to a local minimum near (-5.5, 1.5), rises to a local maximum near (-1.5, 8.5), falls to another local minimum near (5.5, -2.5), then rises steeply on the far right near x = 9 and y = 13; position_hint 60; centerwhat is the range in interval notation?

1. **State the problem:** We are given a graph with several local minima and maxima and asked to find the range of the function in interval notation. 2. **Analyze the graph behavior:** - The curve rises on the far left near $x = -7.5$ and $y = 13$. - It falls to a local minimum near $(-5.5, 1.5)$. - Then it rises to a local maximum near $(-1.5, 8.5)$. - Falls again to another local minimum near $(5.5, -2.5)$. - Finally, it rises steeply on the far right near $x = 9$ and $y = 13$. 3. **Identify the minimum and maximum values:** - The highest $y$-value reached is approximately $13$ (both on the far left and far right). - The lowest $y$-value reached is approximately $-2.5$ (local minimum near $x=5.5$). 4. **Determine the range:** - Since the curve reaches as high as $13$ and as low as $-2.5$, and the curve is continuous between these points, the range includes all $y$-values from $-2.5$ up to $13$. 5. **Write the range in interval notation:** $$\boxed{[-2.5, 13]}$$ This means the function's output values cover all real numbers from $-2.5$ to $13$ inclusive.