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The image shows a graph representing a function over time, along with a question asking which interval has the smallest average rate of change.

To solve this, let's calculate the average rate of change for each interval on the graph. The average rate of change between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by the formula:

\[
\text{Average Rate of Change} = \frac{y_2 - y_1}{x_2 - x_1}
\]

I'll analyze the intervals between the given points and compute the rate of change for each. Let me calculate this.I have displayed the graph to review the points. Let's calculate the average rate of change for the given intervals by looking at the coordinates of the points on the graph.

If you're able to describe the coordinates for each point, I can proceed to calculate the rates of change between them. Would you like to do that or would you like me to make some assumptions based on the graph's visual data?

A function is graphed, and the user is asked to find the interval where the average rate of change is smallest.

Learn how to determine the interval with the smallest average rate of change from a function graph. This problem involves key concepts such as functions, slope calculations, and interpreting rates of change between points. Suitable for students in Grades 9-11.

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