Problem

The graph of a function $h$ is shown below.
Use the graph of the function to find its average rate of change from $x=-3$ to $x=3$.
Simplify your answer as much as possible.

Answer

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Answer

Final Answer: \(\boxed{\text{Without the graph or the function, we cannot find the average rate of change.}}\)

Steps

Step 1 :The average rate of change of a function over an interval [a, b] is given by the formula: \(\frac{h(b) - h(a)}{b - a}\)

Step 2 :In this case, we need to find the average rate of change of the function h from x = -3 to x = 3. However, without the graph or the function, we cannot proceed further. We need the values of h(-3) and h(3) to calculate the average rate of change.

Step 3 :If we had the graph, we could find the y-coordinates corresponding to x = -3 and x = 3, which would give us h(-3) and h(3). Then we could substitute these values into the formula to find the average rate of change.

Step 4 :If we had the function, we could substitute x = -3 and x = 3 into the function to find h(-3) and h(3). Then we could substitute these values into the formula to find the average rate of change.

Step 5 :Without either the graph or the function, we cannot find the average rate of change.

Step 6 :Final Answer: \(\boxed{\text{Without the graph or the function, we cannot find the average rate of change.}}\)

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