Calculate the average rate of change over the interval [3,4] of the given graph of the function.

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Answer 1

To calculate the average rate of change of a function over an interval \([a, b]\), you use the formula:

\[ \text{Average Rate of Change} = \frac{f(b) - f(a)}{b - a} \]

For the interval \([3, 4]\), we need to find \(f(3)\) and \(f(4)\) from the given graph.

Assuming you have the function values from the graph:

1. Let’s denote the function value at \(x=3\) as \(f(3)\).
2. Let’s denote the function value at \(x=4\) as \(f(4)\).

Once you have these values:

1. Substitute \(f(3)\) and \(f(4)\) into the formula.
2. Compute the result to find the average rate of change.

Unfortunately, without the graph or specific function values, I cannot provide a numerical answer. However, you can follow the steps outlined above using the values from the graph to determine the average rate of change.

Please provide the function values at \(x=3\) and \(x=4\) if you need further assistance.