Question
Calculate the average rate of change over the interval [3,4] of the given graph of the function.
(1 point)
Responses
16
1/16
−16
8
(1 point)
Responses
16
1/16
−16
8
Answers
GPT-4o mini
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.
\[
\text{Average Rate of Change} = \frac{f(b) - f(a)}{b - a}
\]
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.